Last season was a transitional one as the Northern Irishman began to implement his vision at Anfield.
It was an inconsistent campaign with some positive displays which saw the Reds finish seventh.
However, Sturridge, who had an immediate impact on his arrival in January for £12million and provided some much-needed support up front, is encouraged by his five months under Rodgers.
"With the philosophy that the manager has we should be challenging for honours," said the England international.
"I think it's going to be great for us in the future and we can move forward.
"I think we did things last season, both prior to me coming here and then with my help, to deliver some better statistics than we have had in previous years in terms of goals and attacking play.
"It's exciting to be part of that philosophy and the new regime that the manager is forming for us to move forward as a club."