Arsenal boss Arsene Wenger sees Giovanni van Bronckhorst as his successor at the Emirates.
The Feyenoord coach is a former Arsenal player and regarded highly by Wenger.
The Daily Star says Wenger sees Van Bronckhorst, 42, as a top candidate, along with Bournemouth's Eddie Howe, who is three years younger.
The former Netherlands midfielder spent two seasons as a player under Wenger at Arsenal, winning the title in 2002 and FA Cup the following season.
He then went on to have a successful career at Barcelona.
Van Bronckhorst has been boss of Feyenoord since March 2015 and in his first full season he led them to victory in the KNVB Cup.
In his second season, the Rotterdam outfit landed the Dutch title, their first in 18 years.