Moyes was in charge of the club when they tried to sign Fabregas, but the midfielder eventually moved to Chelsea a year later.
“We thought we were taking him to Manchester United,” he told Sky Sport.
“We spoke to him at the time, but unfortunately it didn’t happen.
“Manchester United are always in for the top players, we were in for the top players at the time. They were in for the top players recently and they will be in for them again.”