I WILL ARRIVE TO PARIS THURSDAY EVENING AND LEAVE ON TUESDAY MORNING. CAN I USE NAVIGO WEEK FROM FRIDAY TO MONDAY'?'

You can buy Navigo on Thursday, but it will expire Sunday at midnight.  On Monday/Tuesday you will need to buy another fare/ticket/pass.
 
Navigo Decouverte is still likely the best choice for your Thursday/Friday/Saturday/Sunday travel.