Rodgers believes his side should have been awarded a stoppage-time penalty as he watched Celtic drop points for only the second time in the league under his guidance.
Qatari side Al-Gharafa announced on their Twitter account that they had given the Portuguese coach permission to join Rangers.
The Hoops manager raised eyebrows after last week's 4-1 Scottish Cup win by claiming the Buddies, who are bottom of the Championship, were the strongest team they had faced domestically this season.
Murty hailed Rangers' positive performance and felt the players had answered some of their pre-game critics.
"It was great for me and I really enjoyed the experience".
"It's very disappointing that with four officials they don't see that. It looked a clear penalty", Rodgers said.
Man Arrested Over Axe Attack At German Train Station, Several People Injured
Police in Germany sealed off Duesseldorf's main railway station late on Thursday evening following reports of an axe attack. Terrified passengers took to social media to say the situation inside the station "looked bad" shortly after the attack.
UK: TV: Sky Sports 1. They'll be coming and trying to put things right.
"We've been questioned by pundits all week - "we're going to be weak" and all this garbage", Hill was quoted as saying by BBC Sport after the match. "They showed the kind of tenacity and grit that they've been questioned about".
If he starts winning games and playing with a bit of style, that's all Rangers fans will be anxious about, and fingers crossed he'll have the Celtic fans laughing on the other side of their faces next season!
A point doesn't do them much good in that regard, so why was the draw celebrated so much by the players and the supporters at the end of the match?
Martyn Waghorn, having spurned the best chance of the first half, couldn't make the most of another glorious opportunity with Craig Gordon managing to block his close-range volley.
"Clint Hill said on the pitch to me afterwards that he got away with that".