According to the club's press service, the agreement with the 48-year-old Argentine is calculated until the summer of 2022.
Pochettino led Tottenham from 2014 to 2019.
With the Londoners, the Argentine specialist reached the Champions League and English League Cup finals, but did not win a single trophy.
At various times he also worked for the Spanish club Espanyol and the English Southampton.
Earlier it was reported that Arsene Wenger expressed his willingness to return to Arsenal.