Neil Lennon and Steve Lomas found themselves at odds over two major incidents during Celtic's 2-0 win over St Johnstone at McDiarmid Park, which took them to within four points of Clydesdale Bank Premier League leaders Rangers.
Saints boss Steve Lomas questioned the honesty of Daniel Majstorovic's challenge on David Robertson on the half-hour mark which saw both players go off, but which left the Sweden international with a suspected fractured cheekbone and eye socket.
However, Lennon said: "The Majstorovic challenge was a perfectly good full-blooded challenge from a centre-half who only had eyes for the ball and he ended up worse off for his own bravery. There was nothing wrong with the challenge at all."
He added: "It looks like a fractured cheekbone and it could be a fractured eye socket as well.
"It is a big blow because he has been immense for us. We will have to wait to see the extent of it but it looked a real sore one. Again, he will be a miss but we have cover."
Lomas also claimed that Hoops midfielder Beram Kayal should have been sent off after the break for charging down Liam Craig's free-kick after being booked by referee Euan Norris for doing it the first time.
Celtic broke for Ki Sung-yueng to score Celtic's second goal, adding to Gary Hooper's opener minutes earlier, with the Perth boss saying: "Maybe you don't get those decisions against Celtic."
But Lennon added: "I don't think it deserved a booking the second time."
Asked about Majstorovic's challenge on Robertson, Lomas, who was "proud" of his side's performance, said: "I haven't seen it again but I thought the big centre-half knew he was 70-30 in favour.
"It might have just been an honest collision but I wouldn't bet my house on it."