Queiroz said: "We want to go for everything next season. We always want the maximum.
"I want the league and Champions League. We came close this season so we have to take advantage of that experience to try again next season.
"And now we have strengthened our side even more with the arrival and Nani and Anderson. If each one gives us half as much as Cristiano Ronaldo is giving us then we will be more than satisfied. We'll try to make sure that they both end up as massive Premiership stars."
And in a thinly-disguised attack on Roman Abramovich's spending policy, Queiroz claimed that Chelsea cannot compete with the tradition and pulling power of Old Trafford.
He explained: "Nani and Anderson are very excited about coming here and not only for the money. Players want to play for this club and that is something that has been achieved through a lot of hard work and history - not just over three or four years!"
And Queiroz insists that United's new owners will carry on the tradition and are at Old Trafford for the long haul. He said: "The Glazers sell-up now? They are more involved than ever and delighted that we are champions.
"With just a few changes to the side we are prepared to be champions again. Sir Alex Ferguson still has a great desire, even more so after winning the title. He wants to go one step at a time and has no set date for his goodbye. At the moment it is ruled out."