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Joey Barton will join Rangers on a two-year contract when his Burnley deal expires this summer.
Brendan Rodgers says the history and recognition that comes with Celtic is monumental and has a strong emotional tie for him.
"I've not got a time machine but what I am saying is that it is a good appointment," said Strachan of Rodgers.
"People would maybe talk about the level but Celtic is one of the biggest clubs in the world," Brendan Rodgers said.
Former chief executive Green and commercial director Ahmad are among several men facing charges over the alleged fraudulent acquisition of Rangers.