The Netherlands international has been heavily linked with a move to Old Trafford in recent times and wants to be a top performer.
The former PSV Eindhoven star is recovering from a long-term injury that kept him out of the World Cup in the summer and is starting to make appearances for Roma once more.
With compatriot Louis van Gaal at the helm, United are thought to be running the rule over Strootman again and the player has spoken out about his future.
“Of course, everyone wants to go to Barcelona or Real Madrid, but they don’t come quickly to the Eredivisie,” the Netherlands international told Voetbal International.
“Sometimes there is the odd exception, but mostly the rule is that these types of clubs scout at a higher level.
“I don’t see Roma as an intermediate step but I think a player who performs well here will earn a reputation at the top level more quickly.
“In these types of competitions you learn a lot.”
Roma president James Pallotta recently clarified that Strootman was not for sale but rumblings in Italy suggest that a sizeable offer from United could still see the Dutch midfielder at Old Trafford.
The impressive form of Radja Nainggolan in Strootman’s absence has seen the Serie A outfit cope well in the injured man’s absence.