An approach was also made for Manchester City manager Pep Guardiola in the summer.
Tuchel left Bayern Munich in May, despite still having a year to run on his contract, as the German giants failed to win the Bundesliga title for the first time since 2011-12.
He has also previously managed Mainz, Borussia Dortmund and Paris St-Germain.
Tuchel was Chelsea boss between January 2021 and September 2022 – winning the Champions League, Fifa Club World Cup and Uefa Super Cup before being sacked.
In June, Tuchel ruled himself out of the running to take over at Manchester United – it was understood that he met Red Devils co-owner Sir Jim Ratcliffe in France.
If appointed, Tuchel would become the third non-British permanent manager of the England men’s team after Sven-Goran Eriksson and Fabio Capello.
