When asked if they were actually friends, he said: "I actually quite liked her and she was good fun, but she didn't just ghost me herself, she then told the other guy in 'Suits' who I also got on with (Patrick J. Adams) to ghost me, too.
"I thought it was all a bit pathetic, really. It was a bit of a warning sign because she does it to everyone.
"She had none of her family at the wedding and now she's ghosted her dad. She ghosts everyone who is no longer of use to her and it's not a nice trait.
"I should probably let it go, but I have to look at her face every day and think, 'Why did you ghost me?' It's rude. I don't like rude people. I wouldn't do that."
Piers, 54, previously recalled how he and Meghan - who was known as Meghan Markle before becoming part of the British royal family - became pals during an interview on "Loose Women" last year.
He recalled: "After I followed her on Twitter, she DM'ed me and said, 'I'm a massive fan of yours, this is great, do you want to see future episodes?' She then started sending me future episodes. I then linked in with one of the other guys from the show, who came on 'Good Morning Britain', and for about a year-and-a-half we were exchanging emails and messages.
"Then Meghan came to Wimbledon to watch her friend Serena Williams play and she messages me and says, 'Do you fancy a drink?' I say, 'Come to my local pub' and there we are for 90 minutes just me and Meghan, we were great buddies.
"Next thing I know, silence, off the radar."