Shearer believes scrapes between players and staff are part-and-parcel of the game and the latest incident at Cobham is nothing to be concerned about.
"I think it's all blown up more now than it ever has been.
"You have scraps, you have arguments, if you go along to a training ground everyday of the week you will find one somewhere."
The former Newcastle striker believes such confrontation is to be expected when strong and passionate characters such as ten Cate and Terry work together on a daily basis.
"I'm not surprised at all," said Shearer.
"What you have is people trying to give their opinions and in the heat of the moment they get taken out of context - I wouldn't worry about that at all.
"I only know John Terry and I know him as a great captain and a great football player who cares very much about his team, and I think that's probably been the crossed wires.
"I think every football club has to have a bit of that in it.
"I think Alex Ferguson has had a bit of that over the years and it hasn't done him any harm."