The Uruguay international was on the scoresheet in Man United's 1-1 draw with Athletic Bilbao on Sunday, with his last-gasp effort securing a share of the spoils for Erik ten Hag's side.
Pellistri has been a regular for the 20-time English champions during pre-season, but he could find it difficult to secure regular action during the 2023-24 campaign.
Rasmus Hojlund has arrived to boost Ten Hag's attacking options, while Amad Diallo is also back at Old Trafford following a successful loan spell at Sunderland.
There have also been suggestions that another attacker could arrive at Old Trafford before the transfer window closes for business, with Ten Hag thought to want a centre-forward.
Pellistri made the move to Man United from Penarol in October 2020, but he has only made 10 appearances for the club, with all of those outings coming last season.
The 21-year-old has revealed that he would be open to leaving the Red Devils on loan this summer if it meant securing regular action.
However, the South American has also insisted that he is 'ready to contribute to the team' at Old Trafford.
"Well, we have to see," the Manchester Evening News quotes Pellistri as saying. "Of course, both scenarios are good. If I go on loan, it's because I hope to get minutes and then return stronger.
"And If I stay, to play all the time, I can play and contribute to the team, so we will see what happens in the next weeks but now I am enjoying this moment.
"Of course, being part of the Man United squad is the thing every player wants. We will see. But both cases will be good because both of them will be for my best. Each case, is good.
"We are speaking all the time about that. the manager speaks with every player all the time, so in that case it's very clear. So we will decide together what the best option is for me."
Pellistri has had two previous spells on loan with Spanish side Alaves, featuring on 35 occasions for the club, and there is believed to be La Liga interest in his services.
Man United rounded off their preparations for the new season with friendlies against Lens and Athletic at the weekend, and they are now building towards their 2023-24 Premier League opener against Wolverhampton Wanderers on August 14.