Zaha made his feelings clear to the Palace hierarchy though earlier in the summer by turning down a new contract with improved wages, clearly setting his sights at a move higher up in the Premier League table. Tottenham are also interested in the Ivory Coast worldwide.
Zaha wants to remain in London and sees Chelsea as the flawless club to continue his resurgence.
Speaking in May amid reported interest from Manchester City and Tottenham, Zaha indicated he would not push for a move from Palace, which he described as his "home".
Mauricio Pochettino is yet to make a single signing this summer but the Tottenham boss is expected to be busy over the coming days trying to strengthen his squad and Zaha was among the players on his radar.
Instead, he is eager for a big-money move to Chelsea, with Maurizio Sarri potentially in the market for a marauding frontman should Willian leave.More news: Florida man receives national attention for failed 'In My Feelings' challenge video
Jorginho arrived from Napoli at the same time as Sarri while former England goalkeeper Rob Green was snapped up on a free transfer last month.
The report believes that Chelsea is the destination that the 25-year-old prefers, and he has allegedly told his teammates the same.
The race to sign Zaha is getting increasingly unpredictable.
Crystal Palace are reluctant to sell their star man so close to the deadline, however, and value Zaha at around £70million.
So determined is the 25-year-old to make a transfer, the report claims that the Ivory Coast worldwide is considering lodging an official transfer request, with Palace having told him they would only consider an "irresistibly huge offer".