The glamour model-turned-bodybuilder encouraged her Twitter followers to tweet Ross requesting she be invited on his ITV programme to discuss her upcoming anti-bullying TV shows.
"Please can everyone ask @wossy to have me on his show to promote my #antibullying shows coming out. We need the whole country to watch them!" Marsh tweeted, asking people to use the #getjodieonJonathanRosstoraiseawareness hashtag.
"Getting your followers to hound me is exactly the right way to ensure you never get asked on," Ross replied.
"Very strange experience getting harassed and bullied by people wanting to me to help stop bullying. Surreal."
Marsh hit back: "Didn't I say earlier that high profile people don't want to help... Sad sad times! Well we tried folks. I wonder how he'd feel if one of his kids was being bullied? Do you think it'd be a different story?.
"No no, really it's OK. Just get another 'star' on to talk about drugs & their new film & their new single. Don't worry about saving lives.
"To clarify, we were 'hounding' him for a good reason & we were asking nicely. Why WOULDN'T someone want to help the cause? Beats me.
"I was just trying to get awareness for my new TV show that will help millions of people by promoting it on HIS show to millions. If I have to suffer the embarrassment of being publicly shunned then so be it. I want to help people. My own feelings don't matter."
Marsh is fronting a two-part anti-bullying campaign on Channel 5 later this year called Jodie Marsh: Can We Beat the Bullies?. She has previously spoken publicly about her childhood bullying ordeals.
She branded Ross a bully back in 2010, explaining that she thinks he is "rude about his own guests".
Photo gallery - Jodie Marsh through the years: