Brown is free to take part in the Old Firm derby after the club lodged an appeal against the dismissal, with the hearing scheduled to take place next Thursday.
"So [Celtic] are taking the right decision".
The under-fire whistler will be on duty again on Sunday after being appointed as one of the additional assistant referees helping out Willie Collum.
Well-known Celtic fan and former Tottenham Hotspur and Manchester United forward Alan Brazil, though, does not fancy Rangers to win this weekend.
"We have tried to correct some points that have happened during matches, and I will speak with them regarding some of Celtic's front players". So I have nothing to complain about.
Wilson should reform his defensive partnership with Clint Hill after the veteran rejoined Caixinha's squad following three games out with a calf injury.
This season has been no different, with Brown contributing to three goals and the same total of assists across 49 competitive games. Somebody had to referee it so I offered myself and I found out it's not easy.
'We're under no doubts it's going to be tough game for us, but we went to Celtic Park and got a draw in the league and hopefully we can go one better this time'.
"I was never 100%, "yes, I am going back to Rangers". "The refs are human like us".