Pogba said it would be a "dream" to play for Zinedine Zidane during the international break and the Madrid boss has made no secret of his admiration for the United midfielder.
Rumours of a switch to Madrid – who tried to sign Pogba before he swapped Juventus for United in 2016 – continue to make headlines but Solskjaer is not fazed.
The manager, who recently signed a contract to become the club's full-time boss after several months with the interim tag, says he has a good relationship with the midfielder, a player he says remains "important" ging forward.
"It doesn't really concern me, because my thought of action then is to sit down and speak to Paul," said Solskjaer.
"And I've had my chat with Paul and we're fine. He's going to do his utmost here because he knows I'm very fond of him as a player and a person and he's important for us.
"There's no issue. He's important here."
.@RomeluLukaku9 @PaulPogba @MarcusRashford @AnthonyMartial— Manchester United (@ManUtd) April 1, 2019
This is the first time since 1995/96 that we've had four players reach double figures in a single #PL campaign... #MUFC pic.twitter.com/zFnOrBhGoq
The 26-year-old, who has enjoyed a return to form since Solskjaer replaced Jose Mourinho in December, has netted 14 goals in all competitions.