Rohl was in command of Sheffield Wednesday between October 2023 and July 2025 following teaching roles with RB Leipzig, Southampton, Bayern Munich and Germany.
Rangers sit sixth within the Scottish Premiership, with only one win from eight video games, and face Brann (17:45 BST) within the Europa League on Thursday.
Title-winning boss Gerrard withdrew from consideration final weekend, saying the timing was not proper for him to return to Ibrox.
Rohl then additionally pulled out, main Rangers to carry superior talks with Australian Muscat – however the potential delayed begin to his tenure made the deal unworkable for each events.
Rohl, who left Sheffield Wednesday by mutual consent in the summertime, twice staved off relegation with the embattled South Yorkshire membership.
He completed twelfth within the Championship in his one full season in cost – a powerful achievement given Wednesday’s monetary struggles.
Chairman Andrew Cavenagh acknowledged the latest testing interval for the membership, throughout which the board was criticised by followers for the drawn-out seek for a brand new supervisor, however believes Rohl can “restore pride and ultimately success”.
“Danny’s experience at elite level, in high-pressure environments, makes him a strong fit for what we expect here,” stated Cavenagh.
“We know the past few months have been challenging, but our focus has always been on getting the right person, who is ready to immediately embrace this football club and the demands that come with it.
“Danny impressed us together with his imaginative and prescient, his character, and his understanding of what Rangers stands for. We consider he might help restore satisfaction, momentum, and finally success.”
Vice-chairman Paraag Marathe said the club had been through “a radical course of to make sure we recognized the proper individual” and praised Rohl’s “tactical intelligence and starvation”.
Former Southampton boss Martin was sacked with Rangers eighth in the league, nine points behind champions Celtic and two more adrift of leaders Heart of Midlothian.
They are now eight points behind labouring Celtic and 13 behind Derek McInnes’ side.
Rangers also failed to qualify for the Champions League under Martin and lost both of their Europa League games.
And Rohl assured Rangers fans he is ready to embrace the high expectations of fans who have witnessed Celtic’s domination of the title in recent years.
“The expectations are large and I like this problem as a result of I set excessive requirements for myself and the crew too,” he added.
“Rangers is constructed on a practice of laborious work, unity and success – that’s precisely what you’re going to get from me and what I would like my crew to symbolize for all of you.
“I’m looking forward to meeting the squad and getting down to work ahead of Thursday’s game away to Brann.”
