The 30-year-old's switch to the Premier League giants was completed earlier today, but the Germany midfielder had already received a ringing endorsement from his national team manager Joachim Low.
Low has worked with Schweinsteiger since 2004, initially as Die Mannschaft's assistant manager alongside Jurgen Klinsmann.
He stepped up to the role of manager in 2006, following Klinsmann's exit, and together they have reached the final of Euro 2008 as well as the semi-finals of both the 2010 World Cup and Euro 2012.
Their crowning moment together came last summer, however, with Schweinsteiger helping Germany win a first World Cup in some 24 years.
And speaking in quotes carried by FourFourTwo, Low has backed the 30-year-old to impress at Old Trafford.
"Basti is an absolute leader and a world-class player who can put his stamp on any team, including of course Manchester United," he said.
Low also pointed to Schweinsteiger's pre-existing relationship with Manchester United manager Louis van Gaal as a key component behind the move.
"He knows Louis van Gaal, who wanted him. These are good conditions.
"I know that he still has big ambitions and goals. He will face the new challenge in England as we all know, with dedication and highly-motivated.”
Though Low admitted the midfielder's Bayern Munich exit was “unquestionably a loss” for both the Bavarian giants and the Bundesliga, he also admitted that the move could boost Germany's chances ahead of Euro 2016 in France.
Die Mannschaft are currently locked in a four-way battle for qualification from a group also containing Poland, Scotland and the Republic of Ireland.
Low will be more determined than ever to better their recent semi-final appearances and pick up a European Championship crown to go along with their World Cup one.
Low said: "I expect them to also provide him with a further boost and incentive in terms of the European Championship in France, in which we [Germany] will rely on him and he will lead the national team.”
Schweinsteiger played 500 games for Bayern, scoring 67 goals along the way, and has been capped 111 times by Germany, netting 23 times for his country.