"I just want to say sorry to the Swansea fans for the two bad mistakes that gifted Liverpool a draw and I thought we deserved more than that," Shelvey told Sky Sports.
Shelvey joined Swansea from Liverpool in July for £5 million.
"I did not really want to celebrate when I scored - I still have respect for the fans and loved every minute at Liverpool, but it is hard to contain emotions," he said.
"You just want to go into a hole where nobody can see you but it has happened to great players over time.
"I showed a bit of character to keep getting on the ball," he said. "I still feel I have given Liverpool a draw but it was a great game to play in."