The midfielder struggled to assert himself against West Brom on Monday, as the Baggies stunned Anfield with a 2-0 win, and received abuse from followers online after the game
In what was Shelvey's first start for the club since the Boxing Day defeat to Stoke City, the midfielder struggled to assert himself and was eventually substituted after an hour.
After the game Shelvey took to Twitter to slam the critical "keyboard warriors", tweeting: "Love people giving me stick... when half of the people on here haven't got a clue what they're on about."
The post has subsequently been deleted.
Daniel Agger, meanwhile, took a different approach on the social networking site by admitting that he had underperformed.
Agger was partially responsible for West Brom's shock opener after failing to track the run of Gareth McAuley on a set piece, allowing the Northern Irish defender to head home.
The Denmark international tweeted after the game: "I agree with most of you, my performance in the last 10 minutes was NOT good enough."