Solskjaer’s future is now in even more doubt after United slipped to a 2-1 defeat to Istanbul Basaksehir in the Champions League on Wednesday evening.
The United manager has been criticised for his tactical approach in recent weeks, with his side looking unorganised at the back and struggling to find consistent rhythm in attack.
Pochettino, meanwhile, remains out of work since he was sacked by Tottenham last November but said this week that he is keen to find a new club.
Some United supporters are now calling for the club to replace Solskjaer with Pochettino as they are concerned the Argentine could be snapped up by a rival team.
But when asked if Solskjaer is now under further pressure with United’s fresh links with Pochettino, Van Persie told BT Sport: ‘I don’t know, I’m not a big fan of sacking coaches, as a player as well, I never liked that.
‘I never thought in most cases that was the solution to suddenly finding the same team playing great football again.
‘I’ve said it many times before about Solskjaer and about other coaches as well, give him time to really implement their ideas.
‘In the end, I’m sitting here to give my opinion, not to judge his way of coaching or whatever, I’m just giving my opinion about what I see in the games.
‘But I’m a fan of football. What I see I’m just giving my opinion about that and tonight both going forward and defensively it was not good enough.’