The West Ham midfielder has been heavily linked with a potential exit at the end of the 2020-21 Premier League season following another impressive season for the England international in east London.
Rice was touted as a potential target for Chelsea FC over the past 12 months when Frank Lampard was in charge of the west London side.
However, the Chelsea FC legend’s sacking means the Blues may now be less likely to sign Rice, with Thomas Tuchel taking over the reins from Lampard at the end of January.
The West Ham midfielder has also been linked with a big-money switch to Manchester United on a regular basis over the past couple of years.