Universal firms have Frenchman in charge (6)
I believe the answer is:
cosmic
'universal' is the definition.
(relating to the universe)
'firms have frenchman in charge' is the wordplay.
'firms' becomes 'cos' (co is short for company - a business or firm).
'have' is a charade indicator (letters next to each other).
'frenchman' becomes 'm' (abbreviation for Monsieur).
'in charge' becomes 'ic' (abbreviation for 'in charge').
'cos'+'m'+'ic'='COSMIC'
(Other definitions for cosmic that I've seen before include "Grandiose" , "To do with the whole universe" , "Coming from outer space" , "Huge" , "Originating in outer space" .)