The 21-year-old Liverpool star was sent off at the Emirates Stadium during Saturday's early kick-off.
The Reds were well beaten at the Emirates Stadium, with goals from Hector Bellerin, Mesut Ozil, Alexis Sanchez and Olivier Giroud giving Arsenal a 4-1 victory over Rodgers' men.
A Jordan Henderson penalty - won by Raheem Sterling - appeared to give Liverpool some sort of consolation but a late Can red card produced further frustration for the Anfield outfit.
Rodgers, however, insists the 21-year-old is 'not that type of player,' suggesting the watered down Emirates turf played more of a part in his sliding challenge to earn a second yellow than any sort of malice.
"In all fairness, he's not that type of player," Rodgers told BT.
"It's a wonderful surface here but it's actually quite greasy, quite slippy with the way they water it.
"He's tried to reach around the back with the right foot but then slips with his left and then it looks like a scissor challenge but I know him well enough to know he's not like that."
Another disappointing defeat looks to have turned Liverpool's focus fully onto the FA Cup, with a top-four place out of the Reds' hands at the very least - Manchester United or Arsenal will have to drop a handful of points to sacrifice their Champions League spots.
For the Gunners, though, form and momentum are two very close friends right now.