The 28-year old Italian midfielder is of the belief that he has not been given a good opportunity since joining the Reds from Roma in 2009 with loans to Juventus and AC Milan over the past two seasons.
But now, Aquilani is looking to become a key player at Anfield next term if he is given a chance by the Merseyside outfit.
"How can you pay £20 million for a player and this player is never taken into consideration?" he said to BBC Sport.
"I never asked to leave but I was always pushed by the club. I am here and I would like to play for Liverpool but it doesn't depend only on me.
"The situation changed after (Rafael) Benitez left. In past years, I felt forced out. I never asked to go on loan but they made it clear it was better for me to go.
"I think Liverpool people have to know that I have never said I wanted to leave the city because my family and I were not happy here. This is not true.
"I cannot say I have unfinished business in English football because I really never played but, the little I did, I believe I was able to show to Liverpool fans that I have quality and that I could have helped the team."