The former Brentford manager has signed a three-year contract at Ibrox.
The new Gers boss was finally unveiled at Ibrox after weeks of rumours about his, and the various other candidates who were mentioned's futures.
And he wasted no time in underlining that there will have to be some patience initially, as he and former Rangers defender David Weir attempt to take the Scottish giants back to where they belong.
"It's a challenge for us, Warburton is quoted as saying on BBC Sport. "It's one we look forward to and embrace.
Rangers FC (@RangersFC) June 15, 2015
"It's a fantastic opportunity. I'm sure there will be some mistakes but it's important to learn from them and move the club forward.
Warburton was wise to both make it clear that the job wasn't a walk in the park, but also stress that the Gers would be looking to top the Scottish Championship next season.
"Our aim is to win the division," he added. "To get the squad together and gel quickly. We will make the right additions to the playing squad that will add value to the football club."
Rangers found out to their peril that they weren't just going to stroll back into the Premiership in the last campaign, as Hearts and Hibernian competed in what was an unprecedentedly strong second tier of Scottish football.
Hearts won the division and went straight up, but Hibs finished above the Glasgow side, before losing out in the playoffs, and will be competitive once again next season.
However, Warburton has some form when it comes to promotions, having taken Brentford from League One to the brink of the Premier League last season, with the Bees losing out in the playoff semi finals themselves.