According to Corriere dello Sport, boss David Moyes is an admirer of the 30-year-old and would like to take him to the London Stadium club this summer.
Larsen played for Denmark at Euro 2020 as a right back and midfielder.
Since he has one year left on his contract with the Serie A club, West Ham may be able to pick him up for a fee in the region of £4.2 million.
Larsen has spent time at clubs such as Austria Vienna and FC Nordsjaelland during his career, while he has 42 Danish caps.
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!