Having finished sixth last campaign and 12th in the 2022-23 season, Chelsea hired the 44-year-old Maresca in June after he guided Leicester City to the English Championship title in his first season in charge.
Chelsea are eighth in the Premier League standings with seven points from four matches. Their only league loss this season came against defending champions Manchester City.
"This is a good squad," Maresca told reporters when asked if his side could finish in the Premier League's top four.
"But in the last two years, we have finished 12th and sixth. You need progress. The only way to reach some important targets is to be focused on game after game.
"I try to live every week and every day in the same way. Focus on things I can control. My focus is on training sessions and games."
Chelsea continue to be without captain Reece James, who is out with a hamstring injury.
"We're waiting that he's fit. His injury's a bit delayed but the most important thing for him and any injury is that they come back when they're 100% fit, so Reece is still out," Maresca said.
"We don't have an idea at the moment (when he'll be back). We hope we can find the right solution and have him back as soon as possible."
Fellow right-back Malo Gusto is also out of Saturday's Premier League clash at 14th-placed West Ham United.
Maresca was also asked about the expanded club fixture calendar. Manchester City midfielder Rodri earlier this week said players could be close to strike action over the amount of games they are required to play.
Expanded Champions League and FIFA Club World Cup formats, alongside enlarged national team competitions, have resulted in a greater number of games for top teams and players.
"For me, it's completely wrong with the amount of games that we have," Maresca said. "But the only ones that can do something are the players and we can help them.
"In the last two weeks some of the players have tried to explain what they think and I think it's a good starting point. Some of them have said that (going on strike) could be an idea for them."