The Rs are currently four points off safety at the bottom of the Premier League but have been buoyed by recent wins over Southampton and Sunderland, with first-team coach Joe Jordan revealing the much-improved atmosphere at the club.
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"We are back in the fray," Hoilett told the club's official website. "Back-to-back wins in the last two games have got us back into the race for survival. With our remaining fixtures we have a fighting chance to stay up.
"I've looked at the remaining fixtures and it is possible. We have a run of games that we can win. We have home fixtures we can win so I am trying to remain focused and work towards that goal.
"It is going to be a six pointer [on Saturday]. Aston Villa are in the same position that we are in. It is going to be a scrap and a really important game."
Hoilett believes there is an extra spring in everyone's step around the club at the moment as the squad pull together to stave off relegation, and highlighted boss Harry Redknapp's role in the club's improved fortunes.
He added: "At training - around the building - everyone has that extra confidence. It is making us work harder each day to get ourselves out of the relegation zone. Everyone has the same motive - working hard as a team to get us out of the trouble.
"He has been working hard with us on the training field, working on defence and attack. He has also been getting us as a team to work and fight for each other which has given us the confidence to go and show what we can do.
"He pulls one or two players and tells them what he wants them to do. He has come to me a couple of times and told me he wants me to get at the fullback and create chances for the team. He’s pretty hands on actually! You can have a chat with him if you want. His door is always open. He is a good boss."