Alternate Inductor that can be used for MT3608 boost converter circuit
Can I use any other Inductor of same value of 22uH?

No -- in fact, that &quot;Inductor Selection&quot; thing that you quote is pretty specific that the series resistance and core loss matter, as well as the inductance.

Or is there an exact alternative that can be used for this component?

The three things that matter the most are the series resistance, the core loss, and the saturation current.  If you can get your hands on a datasheet for that inductor, then go looking for inductors available more locally to you (i.e. TDK, MuRata, etc.)
If you have a favorite distributor, look through their catalog.  Chances are that an inductor in the same package with the same value will work, but you really want to double check the specifications.