The Uruguay winger endured a tough second loan spell at Alaves last season, playing a total of just 750 minutes during the campaign.
His agent, Agustin Alvarez, has revealed Pellistri has offers from England, Italy and Portugal, but none will be looked at until ten Hag runs the rule over his client.
"He has a contract until 2026. He will make the pre-season retreat with Man United and will take part in the tour in Asia," Alvarez told Grand Hotel Calciomercato. "He [Ten Hag] will decide, if hwill stay or if he will be loaned out.
"In the latter case we have several possibilities between England, Italy and Portugal thanks also to the performance we had with the Uruguayan national team, where the coach [Diego] Alonso who gave him the confidence that Alaves lacked."