Swansea City manager Brendan Rodgers has reportedly rejected the opportunity to discuss the vacant Liverpool managerial role.
Reds owners Fenway Sports Group appreoached the Swans with a view to speaking with their highly-rated manager, but have been rebuffed by the Northern Irishman.
Latics owner Dave Whelan gave the Anfield club permission to approach the Spaniard on Thursday, while up to six other names make up a shortlist drawn up by the Liverpool hierarchy.
A conference call including Henry, Werner and managing director Ian Ayre, compiled a list which included Pep Guardiola, Fabio Capello, Jürgen Klopp, Frank de Boer, Andre Villas-Boas and Didier Deschamps.
Swansea enjoyed a prosperous debut season in the Premier League, finishing 11th in the table after being promoted via the play-offs.
Rodgers, 38, has been praised for overseeing an exciting brand of football at the Liberty Stadium, with several players emerging to the fore thanks to the team's performances.