Carver was filmed shouting at Toon fans in the away end at St Mary's, for showing an anti-Pardew banner.
John Carver: "My sole focus on Saturday, as it always is, was on trying to gain three points for Newcastle United and preparing the players to the best of my ability.
“This included keeping them focussed on their roles and duties in the upcoming 90 minutes.
"In the warm up, I was disappointed to see banners that could, in my opinion, distract the players and take focus away from the job in hand - namely winning the match.
“I went over to our fans to ask them to help us and requested that they take the banners down.
"The vast majority of supporters back the team through thick and thin and I am very proud to be one of them.
“I was met with abuse from one supporter and I regret that I responded inappropriately.
"I sincerely apologise for any offence caused by my reaction.
"Every fan is entitled to an opinion, positive or negative, and I respect that.
"I hope fans will understand that I, like them, only wanted what was best for the team.
"I am proud to work for my home town club and would ask every supporter to back the players and all staff, as they really can make a difference.”
Newcastle goalkeeping coach Andy Woodman has also apologised for a comment he posted on Twitter relating to the incident.
Woodman said: "I am very sorry for the ill-advised comment I posted privately on Twitter on Sunday morning, which was subsequently made public. It was never my intention, of course, for my response to enter the public domain."
It's on TWITTER - the worldwide web - you thick nobhead!
Just as THIS is!
.