In its previous iteration as Force India, the Silverstone-based team enjoyed steady improvements in results year-on-year, but this did not prevent it from running into financial trouble and having to go into administration last year.
The team's future was secured after a takeover by a consortium led by Lawrence Stroll, but its relative performance slipped in 2019 and it dropped three places to seventh in the constructors' standings.
Perez, who described Racing Point's difficult campaign as a "legacy" of its 2018 travails that would have impacted the RP19's design process, says the next F1 campaign will offer a more representative picture of what the team can be under new management.
"There is very big, huge potential in this team," Perez, who still salvaged a 10th place in the drivers' standings, told Motorsport.com. "I think next year  we should be able to see it.
"I don't think there is a team that can grow as much as this one already for next year , and [the new ruleset in] 2021 is a big opportunity for us to mix with the big boys.
"I think this season, the way I see this, we kind of expected to have a bit of a setback.
"I think the momentum, it's with us. Things are looking great, especially for next year. I think it's is a big year coming up for us because it's absolutely the first year where we will see the new administration of the team get into play."
His teammate Lance Stroll, 15th in his first season with the outfit, echoed Perez's sentiments.
"I think it is a massive opportunity going into next year  to pick up form," Stroll told Motorsport.com. "Everyone's going to keep working as hard as they can over the winter, that's the game, but hopefully we will make the biggest jump.
"So I really do look forward to next year. If I look back on this year, we came into the season with some struggles because of where we were this time last year and the troubles that the team had and that really delayed the process of development.
"So if I look at where we where we stand now and going into next year, definitely we got a head start on where we were this time last year, so that really does excite me.
"But it is such a competitive midfield now that will only find out when when Melbourne comes around."