Fiat SpA’s chief executive is set next week to propose to the board a U.K. fiscal residency for the new group being created by the Italian auto maker, and listing it on a New York exchange, according to people familiar with the plans.

Sergio Marchionne’s proposal would mirror the direction taken last year by Fiat’s sister company, CNH Industrial NV, of which he’s chairman. It would help him avoid making the politically difficult…