The 22-year-old spent this season on loan at Bayern Leverkusen but only managed seven Bundesliga starts during his spell in Germany, failing to find the net and only providing a single assist.
Having last appeared as a substitute for Leverkusen during their 3-0 win at Schalke 04 on April 1, the Chelsea academy graduate did not play any part in his loan club's Europa League semi-final defeat against Roma in May.
A report from The Express states that Hudson-Odoi is preparing to enter crucial discussions with Chelsea over his future at the club, with Mauricio Pochettino looking to trim down his squad before the start of the new season.
The three-time England international signed a five-year deal with the Blues back in the summer of 2019 amid serious interest from perennial Bundesliga winners Bayern Munich, meaning the attacker has one year left on his current terms in West London.
It is believed that Chelsea are open to selling Hudson-Odoi this summer as they look to move on a host of players ahead of next term, and it is understood that the winger has suitors in Europe and beyond.
Two clubs in the Saudi Pro League are said to be keen on bringing the 22-year-old to the Middle East, although the player himself is not currently favouring a move outside of European football.
The Blues have been no strangers to dealing with Saudi clubs so far this summer, with N'Golo Kante ending his time at Stamford Bridge to join Al Ittihad, while Kalidou Koulibaly, Hakim Ziyech and Edouard Mendy are all understood to be close to following the Frenchman to Saudi Arabia.
The report also claims that there are a host of Premier League sides interested in bringing Hudson-Odoi into their ranks, with Nottingham Forest, Fulham, Crystal Palace, Brentford and West Ham United all keeping a keen eye on the player's situation.
Steve Cooper's Forest look intent on using the transfer market heavily once again this year after managing to avoid the drop during their first campaign back in the Premier League in over two decades.
West Ham managed to earn a spot in the Europa League next term courtesy of their Europa Conference League win which culminated in a historic victory over Fiorentina in the final, with the Hammers potentially looking to spend the money they will receive if Declan Rice is sold.
Apart from a spell at Leverkusen over the past 12 months, Hudson-Odoi has never donned the shirt of a side other than Chelsea, but his 16-year-long association with the West Londoners could be coming to an end this summer.
The winger has played 126 times for the Blues during a five-year period, scoring 16 goals, but has never truly established himself as a regular starter for any of Chelsea's managers in that period.
The task of nailing a spot in Pochettino's first XI could prove harder than ever for Hudson-Odoi due to the arrival of Christopher Nkunku from RB Leipzig, while Villarreal's Nicolas Jackson is also reportedly set to join Chelsea's attacking ranks within the next few days.