Barton agreed a move to join Mark Warburton’s side at Ibrox last month in what has been considered a major move for the Gers.
Rodgers meanwhile was confirmed as Ronny Deila’s replacement at the same time, in an appointment that has been considered as a coup for the club.
Barton has turned down the chance to return to the Premier League with Burnley to make the move to Ibrox, while it is thought Celtic beat competition from Premier League sides to secure Rodgers' appointment. And Stark believes both will be great for Scottish football next season.
“I think Brendan is a great appointment," he told the Glasgow Evening Times.
"To get a guy of that stature into Scotland is a great coup, I know people have said that about Joey Barton at Rangers too, a great player with a bit of baggage but it will be great for our football.”
It will certainly be interesting to see what effect that both men have on their respective clubs next season.
Many are predicting big things from Rodgers at Celtic, with the main aim being that he can help them make a return to the Champions League group stage after a two-year absence.
Barton meanwhile has been brought in to add some much needed experience to a Rangers side that is expected to challenge for the title, and it will be intriguing to see if both can achieve those aims.