Rantie started in Tuesday night’s 2-1 victory over Premier League side West Brom, as his Championship club secured their berth in the last eight of the competition.
Meanwhile, last season’s Premier League champions Manchester City are now winless in their last three matches following a shock 2-0 Cup defeat to Newcastle on Wednesday.
The Citizens threw away a two-goal lead to draw 2-2 with CSKA Moscow in their Champions League fixture last week before suffering a 2-1 League defeat to West Ham over the weekend, with the Cup loss at home to Newcastle compiling their misery.
"Of course it's a concern because it is twice in one week we have conceded too many goals and I don't think that we are scoring the chances that we have we don't score, which makes them a little bit nervous,” said City coach Manuel Pellegrini after the loss to the Magpies.
"We did not play well. We didn't move the ball in the way we normally do and we were conceding goals too easily and we did not score the chances that we had.”
Yet the Chilean manager believes his side will be able to return to winning ways soon, yet it doesn’t get any easier this weekend when they face crosstown rivals Manchester United in their next League fixture.
"I'm sure that we will leave this week behind us and carry on thinking about the future," he said.
In other Capital One Cup results from Wednesday night, Tottenham Hotspur overcame Brighton and Hove 2-0 while Southampton edged Premier League rivals Stoke City 3-0.
Following Wednesday’s draw for the quarter-final of the competition, Newcastle face Tottenham in the only all-Premier League fixture of the tournament, while Premier League leaders Chelsea were paired with Derby.
Full quarter-final Capital One Cup draw:
Derby v Chelsea
Tottenham v Newcastle
Bournemouth v Liverpool
Sheffield United v Southampton