Levante moved into the Europa League qualification places in Group L on Thursday night thanks to a 3-0 win over Dutch side FC Twente.
It marked their third straight win in all competitions following their latest La Liga victories against Valencia and Getafe, and more importantly to Martinez, their third game without their defence being breached.
"We played a great game against very tough opponents who initially caused us plenty of problems, so it's all credit to my players who had to work very hard," he told reporters after the Europa League win.
"They forced us to be patient but the truth of the matter is that if you don't concede goals defensively then you gain ground.
"The team's recent run has been good but there is no time for us to enjoy it because the game against Granada is already upon us, but we showed how we can play."
Granada lost out at home to Real Zaragoza last weekend to end their own two-game winning run and are now 16th in the league, trailing behind seventh-placed Levante in the overall standings.
However, first choice goalkeeper Tono Martinez denied his side have taken a step back with their latest defeat following wins over Celta Vigo and Mallorca.
He told the club's official website: "We are working well, we believe in what we're doing and we believe in the coach.
"It will be super complicated (to win) as Levante are playing at home where they usually score a lot of points. We will have to go there with the mindset to compete, as we always do ".