Carlo Ancelotti has turned down the chance to return to AC Milan, telling the club he needs rest.
Jose Mourinho insists Diego Costa is content at Chelsea in response to reports linking him with a return to Atletico Madrid.
Reports suggest Kiev are keen to rush through a deal for the 23-year-old Liverpool man before the transfer window closes in Ukraine in a week's time.
Bruno Satin, one of two representatives acting on Ngog's behalf, admitted to disappointment with Wanderers' current lowly standing in the npower Championship but insists his client is not looking to force through a move.
"David has no wish to leave Bolton," he told The Bolton News. "He has a good relationship with the new manager and with the president, Mr Gartside (Bolton chairman, Phil Gartside), and anyone who knows David also knows he is a gentle person who does not cause trouble.
"He is not seeking to leave the club. It is true that Bolton's league position is disappointing but I think he is working hard to try and help improve that.
"There was some interest in him during the last transfer window but it did not come to anything and he is now concentrating on playing for Bolton.
"He is happy and such a move to Ukraine would not interest him at this time."
Towards the end of the January transfer window, Ngog was heavily linked with a move to Fulham.