Inter are keen to take Sanchez on loan for the 2019/20 campaign and have resumed discussions with United to get a deal over the line for the 30-year-old before the European transfer window closes on September 2.
The Serie A giants are ready to pay half of Sanchez’s £391,000-a-week wages, but United are holding out for them to up their offer.
Sanchez has had a disastrous 18-month spell at Old Trafford, managing just five goals in all competitions since joining from Arsenal, and the Chilean is desperate to follow Romelu Lukaku to the San Siro in order to boost his first-team opportunities.
According to The Times, Solskjaer has no problem with restricting Sanchez’s playing time if he does remain at United, even if he is the club’s top earner.
The report claims Solskjaer will mainly use the Chile international in the Europa League and Carabao Cup.
He views Marcus Rashford, Anthony Martial and Mason Greenwood as his strongest attacking options for United’s Premier League campaign.
Solskjaer has conceded that Sanchez could leave this month should the club receive a suitable offer from Inter before the deadline.
‘Alexis is a quality player, of course he is,’ the Norwegian said following United’s defeat to Crystal Palace.
‘We don’t have loads of options. If there is an offer that is good enough for the club and for him maybe he’ll go.
‘If not, he’s still our player and he’s a quality player.
‘He’s been training well, as I said before, there’s no doubt about his quality either. So let’s see.’
Sanchez played no part in pre-season and has not featured in any of United’s three opening matches in the Premier League against Chelsea, Wolves or Crystal Palace.
The forward has, though, taken part in two behind-closed-door friendly matches at Carrington in order to keep up his fitness.