The 31-year-old singer surprised fans by announcing that she had got married last week to boyfriend Jean-Bernard Fernandez-Versini after just three months of dating, reported Daily Mirror.
"I am over the moon for her. If she's happy then I'm happy. It is a right surprise. She's lovely and I am really happy for her.
"I found out through Facebook, she doesn't bother with us much. She phones her sister and she phones her brother sometimes, but what we hear is just back and forward. This is a bit of a surprise for everyone. I'm pleased for her," he said.
Cole's mother married Leighton when she was 11.