Annan has been the subject of continuing speculation following his swash-buckling displays for the Black Stars in South Africa earlier this summer, with Sir Alex Ferguson and Carlo Ancelotti thought to be among those monitoring his situation.
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"Annan is a non-issue. He will not be sold and will remain here," an agitated Eggen told Norwegian website adresso.no. "We're finished with the issue."
Speaking to Aftenposten, Annan said: "I find it strange that he says this, but I know that he wants to keep his best players.
"I want to play for a bigger club and am ready to go if there is an interesting offer for the club."
"It is important for the club to participate in the Champions League, but also very important to me personally in order to show off for bigger clubs," Annan continued
"At the same time, I feel that I have shown myself to be great enough in this summer's World Cup, which is certainly the best shop window for a player. Now I am just waiting to see if any clubs show concrete interest."
Chelsea have allowed Michael Ballack, Joe Cole and Juliano Belletti to depart Stamford Bridge this summer, with Benfica's Brazilian midfielder Ramires expected to arrive before the end of the month.
