Is a Control Law Degradation in Airbus Planes displayed on the ECAM?
Since you are trying to understand how the crew is aware of law reconfiguration, it's important to look at this event in its context, why it does happen and what are the consequences for the control of the aircraft. You may skip this overview and go to the direct answer to your question which is in the last section of this post.



Flight control system and computers

The crew and the FMGS (autopilot) send commands to redundant computers:


2x ELAC (elevator aileron computer) for elevators/THS and ailerons,
3x SEC (spoilers elevator computer) for elevators/THS and spoilers,
2x FAC (flight augmentation computer) for rudder,


and computers send commands to actuators.


Source.

When the system is fully functional, all computers work using a normal law and it provides protection against:


excessive pitch and roll attitude,
high-angle-of-attack,
high-speed and low energy,
excessive load factor.


This can be done by receiving aircraft dynamic data from multiple sensors visible in the diagram.

If a flight control computer fails (or stop receiving required data), the crew receives an indication on the overhead panel:

 
Source.

When one or several of those computers fails, the role of the remaining ones are redistributed. 



Reconfiguration of the computers

The failure of an element of the flight control system needs that other available elements compensate for the missing computer or peripheral. This reconfiguration allows available computers to control an additional axis using other laws. However departing from the normal law for an axis means losing one or more of the protections available under the normal law.

Degraded laws are:


alternate law (two levels: With and without reduced protections),
direct law (no protection),
mechanical (mechanical linkage between controls and control surfaces).


The mechanical mode is a backup mode to control the tail surfaces from the pedals and the pitch trim wheels in case something prevent actuators to work (e.g. loss of all electric power sources before the RAT is deployed).


Source: Airbus A320 FCOM

Alternate and direct control laws modify the relation between the stick movement and the flight control movement (linearity and amplitude).

Effect of pitch axis alternate law in different phases of flight

After the flight control system has transitioned to an alternate law, some protection may be available, but law may also transition again according to events representative of the different phases of the flight. Here is what happens around alternate law on pitch axis, which a change to direct law as the landing gear is extended:


Source: Airbus A320 FCOM

A very degraded flight control system: Direct law

While alternate law on a given axis still maintains (under some conditions) some level of flight envelope protection, this protection is lost when degrading to direct law. According to the axis, the direct law impacts are:


Pitch: The stick commands linearly elevators movement, automatic pitch trim is unavailable, all pitch protections are lost as well as alpha-floor.
Roll: The stick commands linearly surface movement, but overall amplitude is different according to slats/flaps status, only ailerons and spoilers 4/5 are used (all spoilers if ailerons fail).
Yaw: Mechanical control using the pedals, yaw dumping and turn coordination unavailable.




Permanent indications on PFD

Green $\sf \scriptstyle \color {green} {\text {=}}$ indicate active protections: Bank angle ± 67°, pitch angle at 15° nose down and 30° nose up. On the speed scale, speed limits for alpha protection.

Loss of protections after the degradation from normal law is indicated by amber $\sf \color {orange} {\text {x}}$.


Source: Airbus A320 FCOM

When the direct law is in effect for pitch the amber warning $\sf \scriptstyle \color {orange} {\text {USE MAN PITCH TRIM}}$ is displayed below the lines of the flight mode annunciator.

In addition if the law transitions to mechanical backup (which is supposed to be a transitory state), a red $\sf \scriptstyle \color {red} {\text {MAN PITCH TRIM ONLY}}$ replaces the amber indication.

General alerts

Audio chimes are triggered at the time of a component failure, when the mode changes. Alerts also activate either of the overall alerting lights (master warning and/or master caution).

ECAM messages

Failures and law activation trigger messages on the ECAM, with suggestions for crew actions.


Source.

However, and this was noted by investigators on AF447 accident, ECAM messages can be shown or hidden in the scrollable list according to messages priorities, due to the high number of messages that may appear in a short period of time during such sequences of events:


Source.