The 28-year-old featured in five of the Three Lions' qualification matches for Russia 2018 but missed out on selection for Gareth Southgate's 23-man squad.
Sturridge spent the second half of last season on loan at West Bromwich Albion but made just six appearances in total due to injury as the Baggies were relegated from the Premier League.
The former Chelsea and Manchester City man has scored eight goals in 26 appearances for his country, however, and admits that he is targeting a place in the squad for the Qatar tournament.
"You can never say what could have been or 'I should have been there' or this or that," Sturridge told ESPN. "I helped them get to the World Cup and I scored some goals on the journey, but I'm happy for everyone that went, too, because you can never take these things personal.
"I've got a lot of love for Gareth Southgate. I think he's a great guy. He's doing a hell of a job. I think he'll bring success to the country, and I think the tournament which we did have, the World Cup which I wasn't able to participate in, but the boys did a great job over there.
"They made the country proud. They made everyone proud. I was a fan, which, I was obviously an unhappy fan not being there, but a fan that I'm happy for the boys. Next World Cup, I'm trying to be there, 100%."
Sturridge, who has been with Liverpool since 2013, is entering the final year of his contract at Anfield.