The 27-year-old featured in every England game as they finished as 2019 Rugby World Cup runners-up to South Africa.
He tackled the World Cup final loss by adding, "We set out four-years ago to be the best team in the world, we missed out by the World Cup final".
Jones said: "Get ready to play against France and then get ready to play against whoever we play against after France".
The London-based club boasts a star-studded squad full of worldwide players; including Rugby World Cup-winning Springbok prop Vincent Koch.
"We just want to move on. Why can't we go and play fantastic football against France?"
He has also included all his established Saracens stars - Owen Farrell, Maro Itoje, Mako Vunipola, Jamie George, Elliot Daly and George Kruis.
Seven players from the Premiership and European champions are present in England's 34-man squad for the Six Nations and they will head to a pre-tournament training camp in Portugal with their club futures shrouded in uncertainty.
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Borthwick will depart with his reputation greatly enhanced after developing England's pack since 2015 as forwards coach, and having the same role with the British and Irish Lions for the drawn series in New Zealand in 2017.
"All of that business, that will get sorted out".
Griffiths, who presided over the meeting, had admitted the club needed to make wage reductions or release players in order to comply with salary cap regulations.
England begin their Six Nations campaign away to France on February 2.
The assistant coach will step down at the end of the competition and will be replaced by former Australian rugby league great Jason Ryles.
But Jones has seen the positive side in the former Saracens and Bath forward's departure, "If I'm picking the right assistant coaches they should be leaving". He has also turned our maul into a weapon for us and he's done brilliant work coordinating the England program.
Saracens' pool of England internationals - which includes national captain Owen Farrell, Maro Itoje and Billy Vunipola - formed the core of Eddie Jones's squad that reached the World Cup final a year ago.