The Spanish midfielder is satisfied with his recent improvement at his new club, and revealed his delight with die Roten's 6-1 Champions League win over Lille on Wednesday night
The Spain international joined Die Roten from Athletic Bilbao for €40 million in August but has initially struggled to live up to the high expectations.
Nevertheless, the 24-year-old midfielder is pleased with his recent improvement, and is determined to keep on getting better.
"I was lacking a bit of sharpness before, but I'm feeling better with every training session and every match," Martinez was quoted as saying on the official Uefa website. "I think it's only going to get better for me in the future."
The holding midfielder looked back with delight at Bayern's performance in their 6-1 Champions League win over Lille on Wednesday night.
"We're feeling really good right now. I think it was an important result for us because there were three teams all on six points and now [Bayern] have nine.
"We still need to fight hard against Valencia and BATE, but this was an important step."
Bayern currently sit second in Group F with nine points from four games, level on points with Valencia but behind the Spanish side on goal difference.