The long-serving Blues captain is expected to leave Stamford Bridge when his contract expires this summer.
Terry, who will miss Chelsea's final two games of the season after being sent off in last Saturday’s 3-2 loss at Sunderland, is out of contract with the west London club at end of the campaign and is not expected to be offered a new deal.
Wright-Phillips played alongside the long-serving Blues captain for three years at Stamford Bridge between 2005 and 2008, as well as with England from 2004 to 2010, and he believes his old skipper would prove a big hit in the USA despite his age.
“It would be amazing to have JT here,” said Wright-Phillips, who joined his younger brother Bradley at the Red Bulls last summer after his contract at Queens Park Rangers expired. “Everyone knows he has been one of the best players in England for a long time.
“He’s been amazing for his entire career and his reading of the game is unbelievable. To have someone here like him - even if it’s not at this club - would really benefit this league and benefit the players playing around him.
“Learning off him first hand instead of just watching on TV would give a boost to all players, whether it’s with or against him.”
Nevertheless, if Terry does want to move to the US this summer, he may have to lower his wage demands.
ESPN FC claimed last week that initial talks between MLS and the veteran defender took place over the winter, but discussions have reportedly been put off since because no team wants to offer him a Designated Player contract.