Simon Grayson felt Blackpool had been threatening to dish out a beating, but Iain Dowie was unhappy with Kevin Kyle's sending off.
Wes Hoolahan's penalty put Blackpool ahead on 28 minutes before Kyle was dismissed minutes later for elbowing Shaun Barker.
Second-half goals from Michael Flynn, Kaspars Gorkss and Scott Vernon then secured a 4-0 win for the struggling Seasiders.
Home manager Grayson, who signed a new contract on Friday, was delighted to see his side put Coventry to the sword.
"It's just pleasing for the players, we've been threatening a scoreline like that for weeks and weeks and I'm absolutely delighted with the result," said Grayson.
On the sending off, Grayson felt the dismissal must have been deserved, saying: "We see them all the time all over the pitch, but the referee has obviously seen it to make the decision and I'm happy with that.
"Shaun Barker is not a player who will go down without good reason."
But Sky Blues boss Dowie appeared to be unhappy with the conduct of Barker in the incident which saw Kyle sent off.
Dowie said: "We haven't seen massive amounts of marks to Barker's face and it's disappointing to see professionals act in such a way.
"Kyle says he never touched him and we are inclined to believe him."
However, the visiting boss could not defend his side's overall display.
"We dominated for long periods with 10 men, but despite good possession, poor defending and a lack of discipline let us down.
"It was four poor goals as far as we're concerned, but I can't fault our commitment, we were down to the bare 16, but now we have a chance to turn things around."