The Liverpool striker insists the pain "is not too bad" and that he is "raring to go" ahead of the visit of Joachim Low's side to Wembley
The striker picked up the knock during Liverpool's 4-0 win over Fulham last week and was not risked for Friday's 2-0 defeat to Chile at Wembley.
However, the 24-year-old has now declared himself fit and available for selection.
"I am raring to go, the pain is not too bad," Sturridge told reporters on Sunday. "It’s not a serious injury - the pain's not too bad.
"Every game we play in is important for us, it'll be a tense game, I'm looking forward to it."
Sturridge, who has scored 11 goals in all competitions for Liverpool this season, went on to say he hopes to avoid injury for the rest of the campaign and earn himself a place in Hodgson's squad for next year's World Cup.
"There are two games before the selection [for the World Cup], so it is important everyone stakes their claim, and when an opportunity comes, you take it," he added.
"I'm just working hard, I'm not put pressure on myself, the manager is there to make the decision, I will just work hard and train hard and hope I'm in the team.
"If I can remain fit I'm sure the opportunity will be there and I’ll be able to take them. I'm not worrying about anything other than playing football."