Arsenal are targeting the Brazil international for the summer market.
However, talkSPORT says United are prepared to challenge the Gunners for Cunha at the end of the season.
Cunha penned a new deal with Wolves in February but is prepared to consider offers this summer.
Indeed, Cunha's agent is due in London for talks with interested clubs, with a meeting with United scheduled.
The striker has scored 15 goals so far for Wolves this season.