The Toffees boss believes that Pochettino has proven he can manage at Premier League level during his time at Southampton, and that he has all the ability to make a success of his time at White Hart Lane, too.
Martinez will be hoping that Pochettino doesn't start the turnaround by beating his Everton side this weekend, though.
Spurs have lost four of their first six matches at White Hart Lane in the league this campaign and, therefore, there will be a tense atmosphere in the stadium on Sunday.
This is something that Everton, who travel to London full of confidence having not lost any of their last eight games, will be looking to take advantage of.
However, their task is not made any easier by the number of injury problems. Everton are without the likes of John Stones and Darren Gibson, while Leighton Baines and Steven Naismith are amongst a quartet of stars who could be out.
Martinez says Gareth Barry, Leighton Baines, Steven Naismith and Steven Pienaar will all be assessed ahead of the trip to White Hart Lane.— Everton (@Everton) November 28, 2014
Darron Gibson and Bryan Oviedo will miss the trip to London, while John Stones and Antolin Alcaraz are also out. #TOTvEFC— Everton (@Everton) November 28, 2014
Both sides go into Sunday's match on the back of a win which secured their qualification to the last 32 of the Europa League.
Everton beat Wolfsburg and Tottenham defeated Partizan Belgrade to make it out of their groups in Europe's secondary competition.
It leaves anticipation high for their Premier League clash, and both teams know they will strengthen their claim for a top-four finish by collecting the three points.