With Rooney set to turn 31 later this year, the Manchester United and England captain has expressed his desire to make the transition from player to manager after his playing career ends.
Allardyce has signed a two year deal in charge of England and replaces Roy Hodgson who stepped down after a disastrous Euro 2016 campaign which saw the Three Lions beaten 2-1 by Iceland in the last 16.
Steve McClaren was chosen ahead of him after Allardyce was interviewed in 2006 - but this time he has been given the chance, and he insists he is ready for the challenge.
"What we want to see is the England team being successful and for me that is the greatest challenge in my long career. And to make them aware of the opposition, which may change the style of how we play".
Allardyce is keen on the idea of bringing former Derby manager Paul Clement into his team of coaches.
"I have managed some world class players". The key element is to get among the staff in place and talk about the programme going forward, particularly psychologically.
"We are absolutely delighted to welcome David Moyes to Sunderland, who was by far and away our first choice", said Ellis.
Getty Mills played 19 times for England in his career
Allardyce also addressed his style of play, which he has been criticised for: his teams, from Bolton to West Ham to most recently Sunderland have often been characterised as physical and not especially attractive to watch, but he believes that's unfair. I hope when we get there (Russia 2018) I can answer that question better then. Rooney was one of many Premier League stars who disappointed at the summer tournament in France in spite of putting in fine performances in the qualifiers where England had a 100% winning record in the 10 matches they played.
The FA have been keen to stress that Allardyce was the only man they offered the job to - although that is not quite the same as saying that others, including Wenger, were not sounded out first. "I have managed some talented players; the good thing about that is they make your life easier, they know what you want", the 61-year-old said. "I think I've got the experience to pass on and not only challenge the England team and challenge myself". "A game of football is to be enjoyed".
Sammy Lee, Allardyce's assistant at Bolton, joins the England staff.
He also called for the introduction of a winter break in the Premier League to help boost the national team's flagging fortunes. "The demand physically and mentally on the players is enormous".
"The Premier League is the best league in the world so demand has to be on the players".
"We've got to try and help each other if we possibly can".