Goals from Yaya Toure and James Milner set the Welsh club on the back foot against Manchester City before a good attempt was made to claw themselves back into the fixture.
It took a long-range strike from Swansea midfielder Gylfi Sigurdsson to pull one back prior to half-time. Then, following the interval, a Bafetimbi Gomis goal went against all odds putting the score-line level.
Unfortunately for Monk it did not last and it was City who had the final word. Toure put the Blues ahead again before Swansea were finished off by former striker Wilfried Bony scoring in off the post.
Swansea were previously criticised by Arsene Wenger for what the Arsenal manager described as negative tactics when the Welsh side beat the Gunners 1-0 at the Emirates Stadium last week.
Monk, however, believes the performance against City proves they can compete in an attacking contest too.
"We got criticised last Monday for apparently not playing football, and I wanted the players to show we can go toe-to-toe with one of the top sides when we choose to," Monk told talkSPORT.
"I think we proved we can do that. Yes we lost the game, but if we had taken one or two chances, or Joe Hart had not made some incredible saves, we could have got something from the game.
"We didn't quite get a result, but I think we have shown what a strong group we've got and hopefully next season we can be even better."
Swansea have secured a place in the top half of the Premier League table with just one fixture remaining. To further the praise, Garry Monk has done enough to have put his name amongst those nominated for Manager of the Season, and providing Arsenal beat Aston Villa in the FA Cup final, he can enjoy taking his side to the Europa League once again.