The 37-year-old will depart despite insisting he was committed to the summer rebuild at the Ibrox club.
Rangers finished third in the Scottish Premiership last season and lost to Celtic in the semi-finals of the League Cup before a quarter-final exit to their Old Firm rivals in the Scottish Cup.
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Röhl replaced Russell Martin in October and had two years left on his deal in Govan.
The German boss had also been given assurances over his Rangers future, but it is understood Ibrox chiefs have been continuing to review their options since May.
His departure leaves Rangers searching for their sixth permanent boss since Steven Gerrard, the last to lead them to a Premiership title, left in November 2021.
The club are now finalising the deal for Derek McInnes to become their new head coach.
As reported, he has agreed a deal to join on a three-year contract. Rangers and Hearts now working to finalise that move.
What about summer transfers?
Rangers have already begun a summer rebuild with the likes of new CEO Jim Gillespie, executive director Fraser Thornton, technical director Dan Purdy, and consultant Stig Inge Bjørnebye working with the coaching team to add to the squad.
Scotland international Lawrence Shankland was the first confirmed signing, joining from Hearts on a two-year deal with the option of a further 12 months.
The activation of a clause in his Hearts deal saw him move for free, having scored 20 goals in all competitions last season.
