Sneijder, inspirational as Inter won the Champions League, Serie A and Italian Cup in 2010 under Jose Mourinho, has been dropped by the club for refusing to renegotiate his lucrative contract with purse strings being tightened at the San Siro.
A sale in the January transfer window therefore looks likely with reports saying the 28-year-old could be allowed to leave for as little as eight million pounds.
"With regards to Sneijder, he knows that when a player is deserving I give him everything, if the opposite is true he stays out of the group," the coach told Italian TV on Friday.
"I am sure Wesley will make me believe again, a shirt is ready for him."
United looks a less likely destination than it did a year and a half ago when Alex Ferguson was crying out for a playmaker in the middle of the park following Paul Scholes' retirement.
Reports said a disagreement over Sneijder's hefty wages curtailed a deal and Scholes has since returned to the fold while young Tom Cleverley is improving and Shinji Kagawa made a promising start to life in the Premier League before injury.
Second-placed City have never been mentioned as suitors but Tottenham, in fourth, makes more sense as a destination despite Belgium's incisive Moussa Dembele signing from Fulham in August.
Dembele was bought as a replacement for Real Madrid-bound Luka Modric but said earlier this month that he was a "totally different player".
"He had different qualities and I have different qualities as well so I don't feel I have to do exactly what he did, I do my own game," Dembele said.
The Belgian has yet to be a big hit for Andre Villas-Boas' charges and with Spurs light up front with only Jermain Defoe, Emmanuel Adebayor and Clint Dempsey on the books, Sneijder's arrival would increase their attacking options.
