The Turkish club are up against Mourinho's Chelsea on the Champions League Round of 16 first leg on Wednesday night and Mancini suggests former Blues star Drogba and ex-Inter Milan ace Sneijder will put their past with the Portuguese to the side.
"Didier was an important man and an important player for Chelsea," Mancini said.
"Wesley won the Champions League under Mourinho. I think they have a good relationship but tomorrow for 90 minutes I think they will be enemies.
"After that they can go and have dinner together. But for 90 minutes I think they will play not 100 per cent, but more because we need Wesley and Didier to play very well tomorrow."
Drogba signed for Mourinho in 2004 and went on to help the west London club win that season's Premier League title before experiencing two more league titles, a Champions League triumph (in 2012), four FA Cups and two Football League Cups.
Sneijder was part of the Inter side which took out an unprecedented Italian Serie A, Coppa Italia and Champions League treble in 2010.
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