Umtiti has been transfer-listed by Barca this summer, but as yet no offers have arrived.
Garcia has admitted speaking to sporting director Juninho about Umtiti as they are looking for a centre-back.
"We have spoken about it, of course. Umtiti is a great defender, but I don't know if the operation is possible economically," he explained.
"I would like it, but I don't think it will be affordable."