The Red Devils have struggled under the stewardship of the former Everton boss this season, slipping 15 points behind Premier League leaders Chelsea and exiting both domestic cup competitions.
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"There was a big change, nobody likes change," the defender told French radio station RMC Sport, acknowledging the impact made by Ferguson during his lengthy tenure at Old Trafford.
"We are behind the new manager; we will do everything to qualify for the next Champions League, my love for the club will not change."
As reported by Goal, Evra is being targeted by Inter as the Italians look to bolster their back-line, but the Frenchman revealed he had not considered his future at Old Trafford yet - though could be forced to consider his options.
"I love Manchester," he added. "When my love is broken with Manchester, I will study the possibilities.
"Everyone respects me, I feel at home here. It's beautiful. I have very good relations with the new coach."