Solskjaer said centre-backs, Phil Jones and Axel Tuanzebe would both miss the Palace clash due to injuries.
Man United head to the game after losing 1-0 to Aston Villa last weekend in a pre-season friendly encounter.
“Phil Jones is still out,” Ole told Man United’s official website on Friday.
“Axel is not 100 per cent back with us yet, but he’s on the grass running, which is a positive.
“Apart from that, we don’t have any serious injuries, but, as we’ve said, the players are at different stages of their training programmes.”
He added: “Teden jumped up. He’ll probably play some Under-23s games this season, when it’s possible for him. He needs games at that stage regularly.”
The match kick-off time is 5:30 pm.
