Warburton, speaking after signing a three-year deal to replace Stuart McCall, said he would relish the challenge of trying to take the Ibrox club back into the top division after the failure to win promotion last season.
He said: "Our aim is to win the division. We hope we can gel quickly and achieve our target of promotion. That's our job. Every competition you enter you will look to win it. And that's our aim. Change won't happen overnight but we will put in as much work as possible. We will commit totally.
"The playing squad is important. The season is just a few weeks away so we have to look at how we can strengthen. We want to help the club flourish and take it where it wants to be.
"We have to prepare for the long-term, not short-term fixes. It's a challenge but one we will relish and embrace. We will look to take the club as far as we can take it."
David Weir, installed as Warburton's assistant, was enthused about returning to the club he had captained during five years as a player.
He said: "I didn't think I would be back here this soon and it's a bit strange. But I'm really looking forward to the challenge and I hope we can be successful here. I think Mark and I work well together."
Director Paul Murray said: "The vision of the board was to build a modern football club and Mark is a very progressive manager. He has lots of fresh ideas. Davie Weir is a legend at the club. Together they are the right team to take the club forward."
Warburton arrived in Scotland this morning ahead of his unveiling at Ibrox this afternoon.
The 52-year-old chatted to fans and spoke with broadcast media after landing at Glasgow Airport. He was then driven to Ibrox to be introduced to the media alongside Weir.
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