Crouch sealed a move to the Potters in the closing stages of the transfer window after Tottenham manager Redknapp accepted a £10million offer for the lanky striker.
"I'm gutted Peter had to leave," Clancy said. "I love London. My work's here and we've been happy here, plus Mum just moved down. We can commute but it's not ideal."
Speaking to The Mirror, the model, who has recently given birth to the couple's first child added: "I saw Jamie (Redknapp) and I told him: 'I want to kill your dad'. He laughed. It'll be fine, I'm sure Stoke's quite nice."