The Reds boss was happy with his players' effort during his side's 2-0 pre-season win and also suggested that it will be a "great challenge" to finish in the top four this season
Wingers Phillipe Coutinho and Raheem Sterling scored either side of half-time to secure a comfortable victory for Rodgers' side.
And the 40-year-old revealed that, above all, he was particularly happy his side managed to avoid any injuries.
"Overall I'm satisfied with our performance," Rodgers told reporters.
"Our objective was to develop our fitness and it was important that nobody was injured.
"We want to be prepared to win Premier League games and I couldn't ask for more from the players at this early stage of the season."
Rodgers continued by stating his intention to stay with Liverpool for many years - but that he is focused on achieving a top four finish for now.
"When I came here as a manager, I hoped to be here for many years," Rodgers revealed.
"Obviously we want to win the title and get into the Champions League. It's a step by step process and the Premier League is a great challenge, to get in the top four places."
Meanwhile, captain Steven Gerrard, who started for the first time since undergoing shoulder surgery in May, reflected his manager's comments regarding the club's aim this season, while also paying tribute to the club's global fanbase.
"With the support from the fans around the world, it will be fantastic to win trophies. I also want Liverpool back in the Champions League."
The 33-year-old recently signed a new two-year contract at Anfield to see him past his 35th birthday at the club.