The striker has not played for his country since 2012.
The Owls got their Championship season off to a promising start with a win.
A miscued kick by goalkeeper Pierluigi Gollini gifted Wednesday's Fernando Forestieri a late winner in Sunday's Championship curtain-raiser at Hillsborough.
The England winger was involved in the Eagles' 3-1 win over La Liga heavyweights Valencia at Selhurst Park on Saturday.
Sturridge missed the weekend's friendlies with a hip problem, and jurgen Klopp said he had 'no idea' whether he will be fit.
Aston Villa lost their Championship opener yesterday, going down 1-0 to Sheffield Wednesday.
The new signing proved to be the Hoops' hero as they bagged a win in their opening Scottish Premiership fixture.
Newcastle United lost their opening game in the Championship but Hayden is pretty calm after their setback.
The West Ham striker scored two goals in Sunday's defeat to Juventus.
Liverpool beware: pre-season results only tell you so much, as these three sides discovered.
The former Spurs manager and ex Chelsea striker couldn't agree on whether Arsenal would challenge next season.
The Premier League has witnessed some terrible foreign imports over the years, including Newcastle United and Arsenal flops.
The Bolton Wanderers youngster is set to complete a move to the Emirates Stadium according to reports.