Hudson-Odoi earned Forest a famous victory against the defending champions to strengthen their grip on a Champions League qualification place.
But Hudson-Odoi said: “We take it game by game, we are not looking at the table.
“We just look at every game that comes and make sure we get the points we can and play the way we can play and get as many points as possible.
The former Chelsea winger was the hero with an 82nd-minute winner that caught City goalkeeper Ederson out at the near post.
“It’s an amazing game, it was very tough, buy I am happy to get the win, buzzing with the goal, buzzing with the win, just an amazing day,” he added on BBC Radio Nottingham.
“We have got to keep working hard every day, every game that comes we have to make sure we are ready and we have to keep getting the wins and the points.
City slumped to a ninth defeat of the season, the most since the 2019/20 season and they are now looking over their shoulder, with the likes of Chelsea, Brighton, Newcastle and Aston Villa hunting them down.
Defender Ruben Dias said earning Champions League qualification for the 15th season in a row is the target.
He said on the club’s official website: “Well, we’re not going to be thinking about ifs and maybes. We know our target. It is very clear.
“And we have got to push, we have got to push and we have to do our best.
“We’re not used to playing every week as well, but that is a different challenge for us.
“But we need to make it.”
