Queiroz has first hand experience of what is in store for Ronaldo at the Bernabeu, as in 2003 he made the same switch from Old Trafford to the Spanish capital.
The Portuguese tactician's spell at the helm of Madrid was disappointing though, as he was sacked after just a year before returning to Manchester to resume his role as Sir Alex Ferguson's right-hand man.
He has since moved on to coach his homeland and although his own tenure in Madrid was short-lived, he feels his compatriot will flourish at one of the world's most glamorous clubs.
Dream move"I want to congratulate Cristiano," Queiroz said to the Portuguese media.
"This is a dream that had been there for a year, or at least since I've known him.
"Just like (former Portuguese internationals) Luis Figo and Rui Costa, Ronaldo is an example of a talented player, who through his past work coupled with the serious and rigorous preparation done at their clubs and with the federation, has allowed him to culminate his dream."
When asked whether the world-record transfer fee of £80million that Madrid have agreed to pay United for Ronaldo is justifiable, Queiroz said: "That is something that Real Madrid have to weigh up."