The striker made no secret of his desire to leave the club, with Arsenal failing with two bids during the transfer window after being led to believe an offer of over £40 million would trigger a release clause.
Brendan Rodgers eventually kept hold of Suarez, who scored two goals in Sunday's 5-0 win over Tottenham to bring his season tally to 17 goals 11 Premier League games - and the striker insists fans' support has played its part.
|11/1||Liverpool are 11/1 with Paddy Power to win the most points over the Xmas period|
"They helped me, and that was important for me, for my confidence, and for my family, because they are together with me in this. [The award] is very special for me because my hard work on the pitch is recognised.
"Everybody knows about my problems and my difficult year, but after that I forgot everything and have been able to get back on the pitch."
The result at White Hart Lane lifted Liverpool back to second in the league standings, with Arsenal's lead at the top cut to two points, and Suarez underlined the importance of the entire squad's efforts during the season.
He continued: "Liverpool are starting to reach their potential and we can play our best on the pitch. It's very important that we stay together, we keep going, this is very important.
"If Liverpool don't have these players I cannot continue my level, because it's too much. They know I am important, so they try everything to stay together, that's important for me, but it's more important for the club."