The England international left the Toffees at the start of the 2009-10 season for £22m in a drawn-out transfer saga, for which boss David Moyes criticised City.
Lescott told PA: "It might be the case, but when I was at Everton we beat City on a number of occasions, so I don't think it's down to my transfer.
"I wouldn't say they raise their game, because they are always tough opponents against any team. Goodison is a tough away ground."
City and Everton meet at Goodison Park on Saturday.