The two were pictured together last week in Dubai after Pogba travelled to the UAE for a warm weather rehab programme to aid his recovery from an ankle and foot injury.
Solskjaer said: "It's a picture. When you're at Man United you get pictures taken of you. I don't have any problem with that at all.
"He tried to get back but it was too painful. He had that scan, he's on the way back, he's recovering, he's mending. He's been off for a few days working.
"I've not heard Paul say he doesn't want to be here. Paul wants to stay here and play well."