The Reds moved swiftly for the 27-year-old Porto midfielder after losing Javier Mascherano to Barcelona.
But Meireles insisted he is not a Mascherano clone after signing a four-year contract.
He said: "Roy Hodgson was key to me coming here because he worked so hard to sign me.
"I am Meireles and not Mascherano and that will be clear to the fans.
"I hope one day the Liverpool fans will remember me for being successful."
Meireles has won four titles with Porto and been capped 38 times by Portugal, playing in all four of his country's games at this summer's World Cup.