West Brom boss Tony Mowbray spoke out after his side's Premier League defeat by Manchester United on 29 January.
And, after seeing Stoke beaten by Sunderland on 7 February, Potters manager Tony Pulis claimed some referees punish smaller clubs more harshly.
Coleman was particularly unhappy with Chelsea's second goal, which came in a breakaway move that ended when Alex - who had just been allowed back on to the pitch following an injury - fired home.
"For the second goal Chelsea had two players off the pitch for treatment," Coleman explained. "You are not supposed to wave them back on until you see where the ball is going to bounce and so they gain no advantage.
"You can't wave them back on in a situation like that and who scores the goal - Alex."
Coleman admitted his side were second best against the Blues but felt they made things difficult for themselves with the mistake by Scott Dann that allowed Didier Drogba in to score Chelsea's opener.
"Chelsea paid us a compliment by fielding such a strong side," Coleman added. "I couldn't ask any more from my players but we were disappointed with the first goal we gave to Drogba.
"We don't need to give them any help. They are good enough to create their own goals."
Drogba raced to the touchline to celebrate his goal with Hiddink
Chelsea boss Guus Hiddink insisted his preparations for the game were not affected by the midweek incident involving England defender Ashley Cole, who was given a fixed penalty fine by police after being arrested for being drunk and disorderly in the early hours of Thursday morning.
Hiddink said: "We had one little thing to cope with before the match but it did not dominate what is happening at Chelsea.
"Yesterday [Friday] we had this one issue but it was important that it did not cause friction in the team."
The Dutchman felt his side fully deserved their win, stating: "It is not easy with the way Coventry play with the long balls up to their strikers but we managed to control them and play well.
"We scored a beautiful first goal although we were a bit sloppy when scoring a second goal after playing so well in the first half."
Hiddink also praised Drogba, adding: "From the first day I have seen him, he has been a guy who has been working very hard.
"I don't want to judge what went on before. I didn't have to force him but he has been doing extra training and it's paying off."
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