The Red Devils are 10th with 13 points, and are 10 points away from the Champions League spot.
Manchester United suffered their fourth League defeat of the season after just 11 games on Saturday against Bournemouth at the Vitality Stadium.
Ole Gunnar Solskjaer’s men have just one win from their last five Premier League games but Rashford has refused to throw in the towel and still insist the 20-time league champions can qualify for the Champions League via a top-four finish.
"It's going to be tough [to get into the top four] but it's nowhere near impossible,” he told Soccer Saturday.
“We don't need to focus on any other teams, we play our best football when we focus on ourselves and us improving.”
"That's the only way Man United play good football and we need to get back to doing that. It can be very simple for us and at the same time, you don't want to make it complicated for yourself.”
"The main thing is bouncing back. I always think with home games, if you're energetic on the pitch, you're making runs and you're lively, you win games more often than not.”
The 22-year-old believes Old Trafford is a fortress and with the help of the home fans they can beat any team when they play good football.
"Old Trafford is a special place and if we do that with the fans behind us, it's a tough place to come.”
“With the tempo we play at when we're at our best, it's very hard to stop us so we use it as a template and we need to get back to doing that.”
"I just look at the games where we've done it well and the games where we haven't. You weigh them up and look at how you can be more consistent in the games you've done well in.”
"There was the game against Leicester where it wasn't 90 minutes of fun but you go through the game. We won 1-0 and it does a lot for the team and you as an individual.”
“But ideally, you want that support there and you want to be in positions to help your team-mates."