The 19-year-old midfielder, who joined Rangers on a season-long loan deal from Premier League side Tottenham in the summer transfer window, was superb against Raith Rovers in the Scottish Championship clash at Ibrox on Saturday afternoon.
Oduwa has been in good form for the Gers so far this season, and he was outstanding against the Rovers, as the Glasgow outfit won the encounter 5-0.
Rangers boss Warburton was delighted with the performance of the teenager and told BBC Scotland: “He plays with a smile on his face and he's been given a chance to play, which is fantastic. He has to take responsibility and he has to deal with a crowd of 44,000.”
"For a 19-year-old boy it's magnificent to show that level of quality,” added Warburton. "He knows he has to impact the game in a positive manner, which he did, where to do the tricks in the right places to have that positive end product.”
Lee Wallace put Rangers in the lead as early as the fourth minute from a well-worked free kick, and James Tavernier added a second on the stroke of half time when he latched onto Oduwa's flick.
Barrie McKay's effort from close range 10 minutes into the second half made it 3-0 to Rangers, who scored twice in quick succession thereafter through Martyn Waghorn’s penalties.
Over the course of the 90 minutes, the Gers had 73% of the possession, took 23 shots of which 12 were on target, and earned seven corners.
Rangers are now five points clear at the top of the Scottish Championship table with 15 points from five matches.