Having joined the Red Devils from Arsenal in 2018 in a swap deal that saw Henrikh Mkhitaryan move the opposite way, Sanchez has failed to live up to expectations.
Failing to impress at the Old Trafford for his £560,000 a week, many have opted for the sale of the former Barcelona winger, but Solskjaer has insisted the 30-year-old will play an important role in his squad in the new Premier League season.
“Alexis is such a professional and he comes in working every single day really hard and he wants to be a part of this,” said Solskjaer.
“These stories that he's been put in the reserves? Of course he hasn't, he's part of our squad and he is a really good player.
“He has had three weeks now, so he's a few weeks behind the rest but close to being part of it.
“We don't have the biggest forward line in numbers so Alexis might end up playing a lot more games than you expect because we expect him to come good at this club, he's quality.
“We've had a behind closed doors game, he's training, a little bit of extras.
“He'll be gradually integrated into more playing time, but we'll have more behind closed doors games and with only one (competitive) game a week it's hard to keep players ticking. We are arranging a few of them.”
Following a torrid season with Manchester United last season, Alexis featured just twenty times in the Premier League, scoring just a goal with three assists.