The Italian defender has fallen out of favour under Jose Mourinho this season, making 14 appearances in all competitions.
Darmian has attracted interest from Inter Milan in recent weeks and according to The Sun, he is already looking at houses in Italy.
The report claims he has become frustrated with Mourinho at a lack of game time, and his fiancee Francesca Cormanni has been looking for a home in the Corso Magenta area of Milan.
Matteo Darmian is reportedly keen to leave Manchester United
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“Matteo is looking for a place in Milan. He has contacted an estate agent in the city," a source told the paper.
“He is looking for a spacious apartment in a very nice area. His girlfriend will pick the house.
“It cannot be coincidence that he is looking for a new house. Inter Milan have been after him for a while.
“He is from a small town near Milan. The couple are passionate about interior design and have fixed-up places in the past.”
Matteo Darmian has become frustrated with Jose Mourinho at a lack of opportunities
Matteo Darmian has made just 14 appearances for Manchester United this season
The report states Inter and Manchester United are close to agreeing a deal for Darmian to return to Italy, having only signed from Torino in 2015.
However, a move may be delayed until the summer with Inter needing to raise funds by selling Davide Santon.
And with no offers yet to come in for the ex-Newcastle full-back, the Italian outfit may have to wait until the summer to snap up Darmian.