The Chile international failed to make the grade at Liverpool, but his form in Russia has attracted interest from United.
Gonzalez has admitted he would love the chance to ply his trade at Old Trafford.
"It would be a dream to have the chance to join Manchester United," Gonzalez told ADN Radio.
"We all know the quality that the team has and of course I would like to play in England again, even more at a team like Manchester United.
"But while I am at CSKA I will only have my mind focused on my current team, trying to play and showing what I am doing."