Suarez made his return to action in midweek in the Capital One Cup defeat to Manchester United after serving his 10-game ban for biting Chelsea's Branislav Ivanovic.
The incident was the latest in a long line of controversies for Suarez since his arrival at Liverpool in January 2011.
Suarez is set to continue his comeback in Sunday's trip to Sunderland and the Uruguayan is keen to stay out of trouble on the pitch.
"I want to triumph in England," Suarez is quoted as saying in The Sun. "During the months I was off, I meditated very much because of my desire to break the false image that I believe the supporters have of me at the moment.
"I am really serious about this. And when I play, I want to stay isolated on the pitch to avoid the provocations from rivals.
"This is the key to keep things on the level. I know the Liverpool fans are with me. Despite the controversies I have been involved in, I received many letters demanding that I stay at Anfield."
Suarez also revealed he will consider his future at Liverpool at the end of the season after seeing the Anfield club reject two bids from Arsenal for his services in the summer.
"It was an unusual and difficult summer concerning the chances of Liverpool selling me," added Suarez. "Some clubs sounded me out but Liverpool made a decision.
"My future? I'll speak again at the end of the season. Now I am back and my dream is for us to improve on last season and fight for trophies.
"We have a good squad and have opened the season well after a difficult summer. I have the confidence of manager Brendan Rodgers, who was happy to let me return at a difficult place like United."
@new1fowler_9 - he may be better than Ozil, but I wouldn't say he's proven it yet. No point pretending that it's some kind of accepted fact. I hope he stays as the EPL is a stronger league with him in it. But sadly there's enough in the article (if not misquoted) to suggest that he won't stay out of trouble and has learned nothing about his own behaviour. '...the false image that I believe the supporters have of me at the moment.'; 'I want to stay isolated on the pitch to avoid the provocations from rivals.'; 'Despite the controversies I have been involved in' - lots of 'things that other people do to me' and 'things that I become part of' but still, after all this time and three major suspensions, not a hint of genuine 'I did it, it was my fault, and I need to stop doing it'. The problem is that he can't avoid provocation, heated situations, and confrontation, because he's a professional footballer. So what happens next time he gets wound up, given that he doesn't think any of what happened in the past was his doing?- big dave