Inter Milan announced on Thursday that Vidic had agreed to move to the Italian club at the end of the season, and Moyes was annoyed at the timing of the announcement.
Moyes said: "I don't think we like it in this country. I don't think it's something that's done here.
"I can think of [Robert] Lewandowski going to Bayern Munich. I can think of [Mario] Gotze, who went last year between two of the biggest clubs in Germany. It's not something we like in this country, it's done more often elsewhere.
"But it's happened and we'll get on with it. Vida has been a brilliant servant for the club and we'll treat him with all the respect he deserves. I knew about January time that this would probably be his choice."
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