The 35-year-old former club captain was put in interim charge when Michael Laudrup was sacked in early February despite having no previous experience.
In his first month in charge he had to balance the demands of the FA Cup, Europa League and Barclays Premier League.
Despite exit from both cup competitions, their league form has not improved and Monk has won just once - his first game against south Wales rivals Cardiff - as the side have picked up five points from as many matches to leave them perilously close to the relegation zone.
Martinez admits he has a soft spot for his former club and, ahead of their third meeting this season, has backed Monk to keep them in the top flight.
"I have been very impressed with Garry Monk and it would be a big mistake to try to assess his time just by the results," said the Everton boss.
"Some of the performances have been impressive, especially the two games against Napoli in the Europa League where he brought a mature performance from the players.
"Even the game against Liverpool (losing 4-3 at Anfield) and games at home to Crystal Palace (1-1) and West Brom (a 2-1 defeat) have been very small margins and that is why they are where they are in the league.
"I don't think there is a big difference or something huge lacking.
"I have been very impressed with the way he has handled the demands of a short period of time with so many games.
"Everyone has had a good reaction and I know it will be a really tough game for us on Saturday."
While some Swansea fans may still not have forgiven Martinez for leaving for Wigan, then a Premier League side, in 2009 the Spaniard retains an affinity with the club who gave him his first managerial job.
"I think I will always have special affection and memories and I'll never forget," he said.
"Clearly this weekend it is a vital game for us in the same way it is for them so you can imagine all those thoughts will be left until after the game.
"I want Swansea to do well. This season their efforts in the Europa League have affected their league points tally but that is absolutely normal and they will be fine at the end of the season.
"The club's philosophy will give them success and they have strong players who have the mentality to get them the results they need."
Everton are currently sixth, occupying the final Europa League spot, but Martinez knows they will have to win the majority of their remaining 10 matches to keep that European dream alive.
Manchester United are three points behind, having played a match more, but fifth-placed Tottenham could well be caught as they are only two ahead having played two games more.
"Thirty points is a huge amount. We are playing for 15 points at home, which is something we welcome as our football at Goodison has been full of confidence and good play," added Martinez.
"Our points average at home has been exceptional and we need to carry on with that but in the same manner you need to be able to go away from home and get competitive performances."