The 19-year-old Arsenal striker was applauded off by supporters of both teams when he was substituted seven minutes from time in Rovers' win at Bristol City.
Emmanuel-Thomas, who has already been on loan at Blackpool this season, scored two goals and made another as Rovers destroyed fragile Bristol.
O'Driscoll said: "Jay suits our style of play perfectly and it is quite something for a club like us to attract a player from a club like Arsenal.
"I'm so pleased to have him and hopefully we can help him make progress in his career. He has work to do on his play off the ball, but at this stage he could be anything.
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"I'm not sure what position he will eventually occupy as he is not exactly a striker and not exactly a midfield player. What I do know is that he fits in perfectly with the players we have and the system we want to play.
"I was delighted with all the team. Bristol had height in the middle with Chris Iwelumo and pace down the flanks so they were always going to be a threat, but we were very brave in the way we defended."
A crazy opening 15 minutes ended with the score 2-2. Emmanuel-Thomas put Doncaster in front from Billy Sharp's pass while some spectators were still taking their seats.
Bradley Orr equalised on nine minutes, shooting home from a left-wing cross by Jamal Campbell-Ryce, but three minutes later Sharp bundled in a cross from James Coppinger to restore Rovers' advantage.
Right-back Orr got forward again on 15 minutes and Doncaster failed to spot him stealing in to convert another centre from Campbell-Ryce.
But City continued to commit bad errors at the back and on 34 minutes Lewin Nyatanga allowed Sharp to race onto Emmanuel-Thomas's flick-on before firing past Dean Gerken.
Just before the interval came the killer goal as two Bristol defenders collided as they tried to head clear a corner and Emmanuel-Thomas netted his second with a low drive.
When Orr got his third goal of the game on 61 minutes it was into his own net, deflecting a cross from Coppinger to complete a day of misery for Gary Johnson's men.
Bristol City: Gerken; Orr, Carey, Nyatanga, Fontaine; Haynes (Sproule 46), Johnson, Skuse, Campbell-Ryce (Hartley 74); Maynard (Clarkson 74), Iwelumo. Unused substitutes: Collis, Williams, Akinde, James Wilson.
Doncaster Rovers: Sullivan; Chambers, O'Connor, Hird, Roberts; Coppinger (Shiels 77), Oster, Wilson (Spicer 88), Emmanuel-Thomas (Mutch 84); Hayter, Sharp. Unused substitutes: Smith, Guy, Lockwood, Dumbuya.
Referee: D Phillips (Chichester).
Man of the match: Jay Emmanuel-Thomas.
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