The Everton winger suffered damage to his anterior cruciate ligament in December when he clashed with Martial in their 1-1 draw.
The DR Congo international managed just 13 Premier League appearances for the Toffees since moving from Crystal Palace in the summer before his freak accident put an end to his season.
But Bolasie insists he doesn’t hold a grudge against the Frenchman, putting his injury down to a change of routine at Everton.
Yannick Bolasie is expected to be sidelined for around a year
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Asked if he blames Martial's challenge for the injury, Bolasie told Kicca: "No not really, because it's a thing I do all the time. I'm always stretching and I'm always in contact with someone.
"I'm going back to the drawing book and it was something I hadn't spotted, probably because I wasn't in my normal routine that I would have liked to have been when you move to a new club.
"At Crystal Palace, I had my routine – I was all right, I knew what was going on in my body.
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Yannick Bolasie doesn't blame Anthony Martial for his injury
Yannick Bolasie suffered damage to his anterior cruciate ligament in December
"But when you move, you start doing different training methods. You don't realise that other places in your body are getting tight and you still carry on.
"Next time, I'd know how to avoid it. But it happened. It's a freak accident, but part of football."
Bolasie is currently preparing for a second operation as he continues to recover. He is expected to be sidelined until early 2018.