Speculation has claimed that United have offered £10million for De Rossi as manager David Moyes tries to strengthen his squad before the transfer window closes.
"Daniele de Rossi isn't only a big player, but he's also a big man," Garcia told a press conference ahead of Sunday's game against Verona.
"He has been here at Roma for a long time and he wants to play with this jersey.
"We spoke when he came back from his holidays and we said that, if it got past a certain date, he would certainly remain with us.
"He will stay here for the whole season and this is something that satisfies me a lot."
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