Speaking at the 63rd Israel Independence Day Celebration in Los Angeles last night, he said: “We both love each other very much. And we're taking it one day at a time. The bottom line is we want to thank all the people for their great, great support.
"I just spoke to Maria an hour ago before I came here. We both were saying the same thing – we're extremely blessed to be surrounded by so many wonderful people, by so many wonderful friends."
Arnold – who raises four children, Katherine, 21, Christina, 19, Patrick, 17, and Christopher, 13, with Maria – also thanked the former couple’s family and friends for the support they have given them in the wake of the break-up.
He added: "We're very fortunate to have four extraordinary children. I want to take a moment and thank our many friends and family for the tremendous amount of support and love that you have given us in the last 24 hours."
The couple released a joint statement saying they were going through a "time of great personal and professional transition”, and had mutually agreed to separate.
The couple's son Patrick has since taken to his twitter page to discuss the separation, but is hopeful his parents will work through their problems.
He tweeted: "Appreciate all your messages. Small speed bump I'n life, luckily we own hummers, we will cruise right over it. All will be okay. #peace (sic)"