The highly-rated defender was the subject of several big money bids from Chelsea in the transfer window - as reported by the Daily Mail - and put in a transfer request, all of which were rejected by Everton.
The Blues remained firm in their stance that they would not sell one of their prized assets regardless of the price, with Jose Mourinho’s side’s insistence creating bad blood between the two teams.
And Monk has praised the Toffees for how they dealt with the situation as a whole.
"Roberto was very clear on the situation and credit to Everton that they've followed through on it," Monk said to Sky Sports.
"I personally admire that because it's very difficult for clubs like Everton and ourselves - clubs outside that top six - when teams come in for your players. It is a so-called step up and a different pay packet I would imagine, but that's testament to the club.”
Everton have the players to be a top ten side
The Swans boss also believes that Martinez’s side should be in the top 10 this season, after struggling last year.
Robert Martinez’s side failed to adapt to the added workload brought on by their Europa League campaign, in which they flourished, finishing the campaign in a disappointing 11th place.
That came after the Spaniard’s first season at Goodison Park was a huge success, and Monk says they have got the players to scale those heights again.
"The players they've got at the club they should be a top-10 side as that's been their history,” he added.
"They finished outside the top 10 last season and that would have been seen as below-par at Everton, but they don't have Europe this season and I'm sure they feel they will be able to concentrate on the league.”