The former Manchester United assistant manager knows Meireles from his time with national team and believes he has what it takes to be a success Merseyside.
Queiroz said: "I think Raul Meireles is a fantastic player for Portugal.
"He's one of the pillars of the national team. He's a great player and an excellent professional. He has all the conditions to be a success in English football at Liverpool.
"They have just signed the services of a player who stands out for his application, his professional dedication, his technical and footballing quality, and will be very successful for the Liverpool team."
And his national boss thinks Meireles's style of play means he will be well suited to life in the Premier League.
"He's a box-to-box midfielder, he's hard-working, creative, is a good finisher," said Queiroz. "He's consistent, very solid, a great team player.
"He's a great person who is serious, he's a player who has a lot of capacity to communicate. He'll be a great reinforcement for the Liverpool team."