The immediate build-up to City's clash with Wigan at Wembley was overshadowed by fresh speculation linking Malaga coach Manuel Pellegrini with the top job at the Etihad Stadium.
City's under-par performance was punished in stoppage-time when Ben Watson headed the only goal of the game but Barry insisted the rumours had not been a distraction.
"We are professionals," he said. "We can't use something like that as an excuse.
"We have it not just before this game, but all this season and last season as well. What happened today has nothing to do with the speculation."
Wigan are three points from safety with just two games to go but despite their relegation plight, Barry had been braced for a stern test.
"It was exactly the sort of game we expected really," he added. "We knew what sort of game Wigan play and on a pitch like this they can play their football, no matter what the situation is.
"They have got a fight at the bottom of the Premier League but they showed what a good team they are.
"We didn't play our normal passing game, but sometimes that can happen at the end of the season.
"We have had one of those days. It'll make no difference to where this club wants to go.
"We have to learn from the season we have had and push on next season, raise it to another level."