The Celtic striker found the back of the net in the loss to Barcelona on Saturday.
Barcelona's Sergi Roberto in action with Celtic's Leigh Griffiths
The striker was in superb form last season as he scored 40 goals in all competitions for the Scottish champions.
He has started this season in a similar vein, recently scoring a late equaliser in the draw with FC Astana in the Champions League third round qualifying clash as well as bagging a goal in the friendly loss to Barcelona on Saturday.
Leigh Griffiths celebrates with team mates after scoring the first goal for Celtic
Rodgers has certainly been impressed by what he has seen of him so far, saying that he believes Griffiths would score at any level of the game.
“He’s a terrific striker, there is no doubt about that,” he told the club’s official website.
“From the short time I’ve worked with him, you can see he has a real natural instinct. Whatever level he plays at, he will get goals.”
Celtic manager Brendan Rodgers
Rodgers will certainly be hoping that Griffiths can enjoy another goal-laden year in his first season at the club.
They face a harder fight for the Scottish title this time around, with Rangers returning to the top flight and looking to make their mark after a four-year absence.
If they are to retain their title they will need Griffiths in similar form to last season, and Rodgers will be encouraged by the strong start he has already made to the campaign.
Celtic's Leigh Griffiths celebrates their second goal scored by Patrick Roberts