Monreal scored his first goal for Arsenal at the Liberty Stadium, breaking the deadlock with 16 minutes left to set up a vital 2-0 win.
The January signing has settled in quickly at his new club and was serenaded in the away dressing room on Saturday to the tune of the Village People's hit, 'Macho Man'.
"That was Kieran Hunt, the masseur. He put that tune on," explained Jenkinson after emerging from the post-match celebrations.
We were buzzing in the changing room because this is a hard place to come to and get a winCarl Jenkinson
"I’m a big fan [of Monreal] to be fair. It was really important he got our first goal. We needed that. Then it was about keeping it tight at the back and Gerv went and got the second one. It turned out fantastically in the end.
"It’s a huge win. We were buzzing in the changing room because this is a hard place to come to and get a win. I’m delighted and so are the boys, and so we should be. We’ve come here and won 2-0.
"It’s not easy at Swansea. They’re a good team. They’re good on the ball. They can pass it and we’re over the moon with the win. It was thoroughly deserved.
"I think in patches we played really good football, especially towards the end. It was the sort of game where you have to dig in deep and show a lot of fight. We did that so I’m delighted."
Having trailed Tottenham by seven points after losing the north London derby, Arsenal are now four points adrift of their local rivals with a game in hand. Chelsea are five ahead of the Gunners but Jenkinson is confident of bridging the gap.
"We just need to concentrate on ourselves," he said. "Other teams are going to drop points. We want to win every game and we’re capable of doing that.
"Our form hasn't been bad. It can be better of course. From now it’s just about now until the end of the season. That’s going to be what makes or breaks us so it’s almost like a little season in itself.
"In my eyes, we’ve started it really well [at Swansea] and we just need to get on a good run and keep it going. If we do that, we’ll end up where we need to be."Copyright 2016 The Arsenal Football Club plc. Permission to use quotations from this article is granted subject to appropriate credit being given to www.arsenal.com as the source