The Championship clash between the two rivals at Carrow Road saw the Canaries run out 3-0 winners, with Onel Hernandez opening the scoring after just 82 seconds.
Teemu Pukki then slotted low across Bartosz Bialkowski after the hour to double the hosts' lead before eventually claiming his 20th league goal of the season in the 80th minute.
After Jon Nolan's late challenge on Max Aarons in first-half stoppage time, Lambert was sent to the stands after confronting Norwich coach Chris Domogalla, who was also red-carded.
BBC Sport reported on Tuesday that the former Canaries boss has been charged with misconduct by the Football Association after he was sent off, while the two clubs have also been charged with failing to control their players and officials in an orderly fashion both then and in the 90th minute.
On the same day, Ipswich's Twitter account posted an interview with Lambert in which he said he doesn't have any regrets over the incident and added he "won't let this club be bullied by anyone":
"I won't let this Club be bullied by anyone."— Ipswich Town FC (@IpswichTown) February 12, 2019
Paul Lambert says he doesn't have any regrets over the incident which seen him receive a red card in Sunday's East Anglian derby. #itfc pic.twitter.com/qmEiydbcdS
His comments were not viewed very kindly by some Norwich faithful, who hit back on social media:
ncfc never got out of second gear. krul never had a save to make. thats the worse ipswich town side ive ever had the misfortune of watching.— ✝️️ (@toad11e) February 12, 2019
Is he okay?— Parry (@ParrisNatasha93) February 12, 2019
Oh god. Get a grip Paul! Throwing the ‘class’ comment back in our face as well... this is childish stuff just because the game didn’t go the way you wanted!— Lucy Cross (@Lucyyyyy5) February 12, 2019
will need this fighting spirit in league one next year lad.— Horned viper (@Zibbygoals) February 12, 2019
He also said ‘i wont let them faze me’ - looks like we won on AND off the pitch then!— Nick B (@cheltcanary) February 12, 2019
Wouldn’t know class if it jumped up and slapped him round the face. He’s gone from being a European class player, to a decent manager, to a out of his depth manager to an awful manager looking for excuses. I’m glad we had him when we did, but I’m ecstatic you’ve got him now.— Jon Stroulger ⚽ (@JonStroulger) February 12, 2019
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