But Coyle rejected suggestions Arsenal are specifically given over-the-top treatment by rivals.
"They are special players, no doubt about that, but there is no way in the world that anyone would go out to intentionally hurt or maim any player," he said.
"Ramsey is a terrific talent and is going to be a top player but there's no way that was intentional to hurt him."
Coyle said there was a crucial difference between being competitive and reckless.
"If you're not motivated to go out there and be aggressive to begin with, to earn the right to play, then you're going to be run over the top of and made to look foolish," he added.
"We all take pride in trying to make our players competitive, to go and earn the right, as we say in football, but there's no way you'd say 'Go and smash this and that'."
Coyle had cause for complaint in January over a William Gallas challenge on Bolton midfielder Mark Davies but he admits he saw things slightly differently after a few days' reflection.
"I was angry and disappointed at the time a couple of weeks ago with William Gallas, and your emotions do take over," he told the Bolton News.
"I felt it was a poor challenge but with hindsight I don't think William Gallas intended to hurt Mark, to do damage.
"It was badly timed, just like the other day. The boy Shawcross took a bad touch and I'm not even sure if he knew Ramsey was there.
"It's horrible when any young player gets an injury but it's wrong when people start posting blame and saying that they meant it."
West Ham 4/5, Draw 12/5, Bolton 7/2