And according to the Evening Standard, Solskjaer will not replace Sanchez with a free agent.
United were tipped to move for former Tottenham striker Fernando Llorente.
However, Solskjaer has no plans to replace Sanchez and will not add to his squad in immediate future.
Solskjaer was happy to let Sanchez and Romelu Lukaku join Inter this summer despite it leaving United short up top.
United are now relying heavily on Marcus Rashford and Anthony Martial.
Youngster Mason Greenwood is United’s back-up striker, meaning an injury to Rashford or Martial could prove costly.
United were stunned at Old Trafford last weekend as Crystal Palace won 2-1.
The Red Devils missed another penalty after the saga during their draw at Wolves.
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Man Utd boss Ole Gunnar Solskjaer will not sign a free agent as a replacement for Alexis Sanchez (Image: GETTY)
Man Utd had a busy summer window (Image: GETTY)
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Paul Pogba missed the spot kick at Wolves before Rashford failed to score at Old Trafford.
United are hoping to bounce back from their shock defeat against Palace on Saturday, with Solskjaer’s men facing Southampton.
A win for the Red Devils could see them move into the top four.
Sanchez is ‘mismanagement at the highest order’ says pundit