Two draws were followed by back-to-back wins over Atletico Madrid and Sporting Gijon, lifting the islanders 12 points clear of the La Liga relegation zone.
The 3-2 midweek victory over Sporting was particularly pleasing for Nsue, who scored the second goal, and he sees no reason why they cannot challenge in-form Barca on Saturday.
"Why not? We are playing well and you never know in football," the 22-year-old told www.diariodemallorca.es.
"Winning gives us more confidence now to enjoy the Barcelona game and we will see if we can get something from it now we have very high morale."
Mallorca are just four points from the 40-point barrier which is usually enough to secure top-flight status.
However, Nsue sees no reason why they cannot aim above and beyond that over the last 10 matches of the season.
"This team should be ambitious, if we are we can look at going as high as possible," he said.
"We just have to stay calm, take it one game at a time and look at achieving our aims as soon as possible.
"Winning is important for the team. We're working well together, becoming a very close-knit and strong squad and we must continue on this path.
"Personally I've been working hard for months. I feel great, I'm improving all the time and I've grown in confidence. But the most important thing is to help the team."
Mallorca coach Joaquin Caparros has doubts over the fitness of left-back Pablo Caceres (foot) and forward Alvaro (muscle) for Saturday's match.
Barca have also put together an impressive run of form, winning their last six league matches in a row.
That has allowed them to close the gap on league leaders Real Madrid to six points, although coach Pep Guardiola continues to play down their title hopes.
"Winning the last 10 games is not an easy task at all," he said. "There are many tough opponents.
"We have to carry on winning, nothing's changed. We are six points behind now and we will continue trying to win.
"It's better for us that Madrid aren't winning, but we have to continue winning tomorrow [Saturday]."
Dani Alves will miss the trip to Mallorca through suspension, while Adriano is sidelined with a thigh injury.