British or not, Ant and Renee have certainly appeared to hit it off, with a source telling PEOPLE last month: "Renee is creative... and often goes for guys who think out of the box. She's smart, thoughtful and always looking to expand horizons and nurture those around her."
They added: "Sometimes two people just meet and click, and the timing is right."
The pair stepped out publicly while attending a gala event in Santa Ana, California earlier this month.
Ant has a two-year-old son whom he shares with ex-wife Christina Haack. The pair were married for just under two years.
Zellweger has plenty of British A-listers to call friends, including her iconic Bridget Jones co-star Hugh Grant.
Last year, the actor said he'd remained close with the 52-year-old Texan: "I love Renee," he said.
"She's one of the few actresses I haven't fallen out with. And, we, we got on very well together and, we still exchange long emails."