However, Rangers sources suggest more than one person remains in contention for the job.
Rohl held positive talks with Rangers, but the club are taking their time to make the next appointment, even if it meant the German exiting the process.
Having coached at RB Leipzig, Southampton, Bayern Munich and been Germany’s assistant coach, Rohl was appointed by Sheffield Wednesday in October 2023, becoming the youngest manager in the English Football League.
He steered the club clear of relegation and they finished 12th the following season, but Rohl departed this summer amid the club’s ownership and financial issues.
The news that he had dropped out of contention for the Ibrox job came on the day when former Rangers midfielder Derek McInnes dismissed speculation linking him with the vacancy, saying he was concentrating on keeping Heart of Midlothian top of the Premiership.
Martin left Rangers after only 17 games in charge and his side sitting eighth in the table after just one win in six outings.
They also suffered a painful 9-1 aggregate defeat by Club Brugge in Champions League qualifying and have lost their opening two Europa League matches.
Rangers next host Dundee United on domestic league duty on Saturday.
