Receive array of data and access employee info fields
Instead of accessing the employee key every time, just pass in the array rooted at the Employee key
What happens if all of the array indexes are not set?  You should either check for that or use an object on which you know they all exist

Important mostly for data integrity (what if you create an Employee array somewhere and forget a status or something?)
But also accessing non-set array keys issues a notice

I suspect there's something wrong with your class design as a whole.  In particular, the same class should probably not have a method to update an employee and a method to run a query (you don't happen to have something extending some vague DB class do you...?)
Why is name not a place holder like the user_id?
Use real names when posting code here -- doSomeStuff is very vague, and that hampers our ability to review
A text status should probably not be being passed into this since it seems like you're dealing with a low level record here
Don't quote entity names unless you need to.  It breaks compatibility across SQL-dialects for no reason
What if $name has spaces?  What if it has a ' in it?  Look into SQL injection and prepared statements.  (They're not just about security.  There also about correctness.  In it's current form, your code has a very major bug.)
A default value for the parameter shouldn't be provided.  Would you want someone to call $obj-&gt;doSomeStuff();