The Dutch winger has been strongly linked with a move to Chelsea this summer having previously been mentioned as a target for Juventus and Liverpool since helping Holland reach last summer's World Cup final.
But the German outfit claim there has been no contact regarding the availability of Elia, who is under contract until June 2014.
The 24-year-old has made 24 league appearances in each of the last two seasons since his ?7.5million move from FC Twente.
And Hamburg are adamant they are not looking to offload Elia and are confident he will still be at the disposal of new coach Michael Oenning.
"I am able to confirm we definitely received nothing from Chelsea FC with regards to Eljero Elia," club spokesman Jorn Wolf told the Nordwest-Zeitung newspaper.
"There is no bid on the table and there are no negotiations taking place between the clubs.
"We also have not received any bid from any other club for Eljero Elia.
"He is an important player for us and he is well within our plans for the new season."
Several clubs were thought to be lining up bids of around ?10million for Elia during the winter transfer window.
Source: Team Talk
Source: Team Talk