The Premier League side suffered a surprise defeat at home to Norwich City in their final competitive game of the season, after which caretaker boss Brian Kidd admitted that the players had been affected by developments surrounding the Italian's exit.
After finishing the season in a reasonably poor fashion, however, the 30-year-old expects the players and the club to pick themselves up and improve ahead of next season.
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"The decision has been made by the club and we have to respect that as players. We play for Man City. They have seen fit to part ways with Roberto and we have just got to get ourselves right for the new manager."
City are halfway through a two-game post-season tour of United States, their first match against Chelsea in St Louis playing out as a pulsating 4-3 win for Kidd's men, having come back from 3-0 down.
Lescott played down the significance of the performance, with the trip across the pond more commercial than competitive, but is happy to be satisfying the foreign fans.
"It was not a competitive game but it was entertaining, which is what the fans want to see," said the defender, who himself was rested for the fixture. "It was good. It was a friendly atmosphere and I am sure we kept them entertained.
"You've got to finish the job off. That is what we are trying to do. We are representing Man City at the end of the day.
"There hasn't been much training going on. It's been a commercial trip. We've got one more game to go but it's been a productive week."