Bayern Munich sought to acquire the international services of England in the January transfer window.
The German champions presented a total of four offers for the eighteen year old, one of which exceeded £ 35 million.
Chelsea has been steadfast in their refusal to sell Hudson-Odoi since the beginning and remained firm even after delivering a transfer request.
Bayern is still excited to sign the boy and will renew his interest in him in the summer.
It is reported that Real Madrid and Barcelona are also monitoring the situation of Hudson-Odoi at the Stamford Bridge.
And the former Bayern Elber player urged his old team to submit another offer for the Blues star before the Spanish giants start calling.
"We can only know if Hudson-Odoi is suitable for Bayern after his signing," Elber told Goal. "However, Bayern must be cautious when signing new players.
"The current transfer market is really the case, € 5 million cannot buy the players you want.
"If Bayern doesn't make the call, maybe Real Madrid and Barcelona will."
Hudson-Odoi's transfer request arose from frustration at the lack of first-team football.
The Londoner has started Chelsea's last two games and is now apparently in the long-term plans of manager Maurizio Sarri.
"At the start of the season, Hudson-Odoi had great potential but was not ready to play in the Premier League," said the Chelsea manager.
"Loftus-Cheek was the same, Loftus-Cheek just had to adapt to my football, to improve my football tactically. Then he had a lot of problems behind and so we had to wait for him.
"But now they are fresh, they are ready. They are improving so at this time of the season they are fresh.
"I think that in right now they are really very important to us. "
Hudson-Odoi and his Chelsea teammates will return to action Thursday night, travelling in the Czech Republic to face Slavia Prague in the Europa League quarter-final first leg.