However, he also took aim at the FA for failing to offer any type of support after he was cleared for spot-fixing earlier this year.
Paqueta was shown two yellow cards in quick succession for dissent by referee Darren England for arguing over a decision to award a foul against his team with six minutes left to play.
Former Hammers goalkeeper Rob Green branded Paqueta's behaviour as "ridiculous", which sparked a response from the player.
"It's ridiculous to have your life and career affected for two years without any psychological support from the federation," Paqueta said, while also apologising to his team-mates and the club's supporters.
"Perhaps this ridiculous behaviour is just a reflection of everything I've had to endure and, it seems, have to continue enduring!
"I'm sorry if I'm not perfect."
Paqueta continued: "I understand that now I have to come acros.," he wrote in Portuguese.
"I'll keep trying to ensure they don't affect me even more. This doesn't justify my expulsion and that's why I apologise to the fans and my team-mates."