Redknapp was overlooked for the role when Roy Hodgson was appointed four years ago, although his name has been mentioned in some quarters as a possible successor to the former Liverpool boss, who resigned in the wake of England's disastrous Euro 2016 campaign.
Ashworth is a member of the three-man panel that will select the next manager, and Redknapp believes that current favourite Sam Allardyce would be a good appointment, despite initially having backed Glenn Hoddle.
"I did have a meeting with Dan Ashworth. We had a coffee and a chat. It was generally about football. I enjoyed it. I had a good meeting with him, it was interesting," he told talkSPORT.
"I was in Glenn's camp, but I will be delighted if Sam gets it. Sam is a good man. He has plenty of knowledge, he will have plenty of enthusiasm for the job, so I will have no problems if Sam gets the job. I want an English manager, that is important to me. I want to see one of the English boys get it.
"It will be interesting if Sam gets the job who they put alongside him. I am sure they will want to bring in a young guy as a manager for the future. That seems to be the plan. It will be interesting who they select, if Sam gets the job, to work with him."