The Spaniard, who is the favourite to take over from Antonio Conte in the summer, worked with a trusted group of professionals that helped guide the Catalan giants to nine trophies in three years.
That includes current Celta Vigo boss Unzue, scout Robert Moreno, trainer Rafael Pol and psychologist Joaquin Valdés.
And if Enrique does replace current boss Antonio Conte in West London, he'll want to bring his ex-Barca staff to the capital.
When Unzue was appointed Celta boss back in May, 2017 he took Enrique's support team with him.
So it's unlikely that any of them will be available until the summer.