Poulter, who has 2.2 million followers on the platform, made his feelings be known because he is fed up of having to block people who post him abusive comments.
Musk, the richest man in the world, has made it clear that "defeating spam and scam" is at the top end of his priorities on Twitter.
Having 2.2 million followers can be good. However I am very excited that @elonmusk has taken control of twitter hopefully he will get rid of Bots & Sad lowlife bullies who write nothing but abusive comments when they have 0 followers & 0 posts. It’s getting boring blocking people— Ian Poulter (@IanJamesPoulter) November 2, 2022
Musk has also confirmed that he is charging $8 per month for Twitter users who want a blue tick by their name to indicate a verified account.
Critics claim the move will make it much harder for people to identify reliable sources.
Twitter’s current lords & peasants system for who has or doesn’t have a blue checkmark is bullshit.— Elon Musk (@elonmusk) November 1, 2022
Power to the people! Blue for $8/month.
"Power to the people! Blue for $8/month," the billionaire said on Twitter.
Musk criticised the previous blue tick verification as a "lords and peasants system".
His team were eliminated in the Semi Finals on Saturday, but each member of the Majesticks walked away with $750,000.
Poulter hit the headlines last week after slamming Rory McIlroy's recent comments.
It is understood that a number of PGA Tour players will be making a move to LIV Golf over the coming months.
Poulter, while suspended from the PGA Tour, still remains eligible for DP World Tour events - at least until the next hearing in February 2023.
Back in August, the Englishman claimed he was "being treated differently" by the former European Tour circuit.