The Chilean has never found his form since moving to Old Trafford from Arsenal in January 2018, despite his reported £500,000 weekly wage.
He has been linked with Inter in recent weeks and the Norwegian has confirmed that Sanchez is looking for a new club after playing in a behind-closed-doors friendly against Sheffield United on Tuesday.
"There are still talks with some clubs," Solskjaer said, ahead of United's Premier League meeting against Crystal Palace at Old Trafford on Saturday.
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"But he played in that game and he played well. As I have said he is working well.
"Let's see in September what is going to happen."
A move to Inter would see Sanchez link up with his former Manchester United team-mate Romelu Lukaku, who sealed a move from Old Trafford to San Siro earlier in the summer.
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