The Russians took the lead through Aleksandr Kokorin's header but went out of the tournament after Islam Slimani's strike earned the North Africans a 1-1 draw.
Akinfeev acknowledged that the result was beneath the expectations put on his team and stressed that he was ready to take any stern critique that would be directed at them.
"Any defeat is deserved," the CSKA shot-stopper told journalists after the game.
"We understand that now a barrage of criticism will be poured on us but, honestly, we can take it because strong people need to be able to take a hit.
"There's no desire to talk about the quality of our football - we didn't attain the result we wanted. I repeat, we will need to pay attention to those people who... I don't even know what the word is. We need to go on and enjoy our football careers as much as we can."Akinfeev had a laser pointer directed in his eyes as the ball came in for Slimani's equaliser, but the CSKA man keeper refused to use that as an excuse for his team's failure.
"The referees drew attention to the laser pointers but nothing changed," he continued.
"They continued to shine them. Algeria, though, are a great team - they had a number of excellent shots, even in the first half. If you talk about mistakes, you can talk about anyone. Let them write about the goalkeeper - I don't care."