After spending last season on loan at Hibernian, where he scored 23 league goals, the Scotsman scored Wolves' first and last goals in the 4-0 win over Gillingham last Saturday.
Griffiths, who won the Scottish Football Writers' Association Player of the Year last season, was reported to be a summer target for Celtic, but the forward wanted to take his chance at Wolves.
Now Griffiths wants Scotland manager Gordon Strachan to give him the same chance Jackett did in July.
He told the Daily Record: "The new manager, Kenny Jackett, called me and said he wanted me in his team and that was all I needed to hear.
"All I wanted at Wolves was a chance to show what I could do.
"A game against England at Wembley is the kind of occasion where a Scotland player could make a name for himself that would last for years.
"Team selection is out of my hands but it's my ambition to be a regular starter for Scotland."