The world’s most expensive player was substituted in the first half of United’s Europa League defeat to Fenerbahce on Thursday after sustaining a knock to his knee.
But he lined up for United at the Liberty Stadium on Sunday and scored a stunning opening goal as the Red Devils went on to clinch just their second win in eight Premier League games.
“I always say that when you go with your head, everything will follow,” Pogba told MUTV before jetting off to France on international duty.
“It [the injury] is not gone. It’s still here. I was fit enough to play and after the gaffer put me in I played and I give my best every time.”
Pogba’s comments came as manager Jose Mourinho appeared to criticise defensive duo Luke Shaw and Chris Smalling for ruling themselves out of the encounter in south Wales.
Mourinho said after the match: “There is a difference between the brave, who want to play at any cost, and the ones for whom a little pain can make a difference.
“If I were to speak with the many great football people of this team, they will say they played many times without being 100%.
“We have players on the pitch with problems. In every sport, how many times do you play and you’re not 100%?”
Pogba linked up with his France teammates on Monday despite still carrying a slight knee problem.
Les Bleus will face Sweden in a World Cup qualifier on Friday before hosting the Ivory Coast in a friendly the following Tuesday.
Following his wonder strike against Swansea, Pogba vowed to score more goals for his new club.
He said: “I think this is one of the best [goals] I’ve scored for Manchester United but I hope to score more goals to help the team and we win and win, carry on like that.