The Gers boss was delighted with the 20-year-old's display against Hibernian.
The home defeat marked another frustrating day for Rangers as a whole but their manager found a positive in the young midfielder.
McDowall said he didn't intend to single anyone out but found Murdoch's performance against Hibernian simply too 'fantastic' to ignore.
The Gers man was booked for his efforts but still came away with glowing praise from his coach after putting in a 90-minute shift.
"It's absolutely fantastic. It wasn’t my intention to single people out but Andy has been tremendous and I thought he went in and did a fantastic job tonight," McDowall said.
“First and foremost, he is a fantastic footballer but he's got energy about him in the middle of the park. He shuts things down quickly and does a great job."
The Hibs defeat, nevertheless, sees Rangers drop a place to third in the Scottish Championship - 19 points off league-leaders Hearts.
McDowall's men, though, do have three games in hand over Hibernian and two over Hearts.
Last night's defeat was Rangers' third in a row in all competitions, with the Gers having been beaten 2-1 by Raith Rovers in the Scottish Cup last weekend and 2-0 by Celtic in the Scottish League Cup semi-final seven days prior.