Having been sent off in last season's Champions League Final, he was expected to be sold last summer but no club matched Chelsea's valuation of the Ivory Coast international.
Reports of a meeting with Inter Milan sporting director Marco Branca and Mourinho's agent, Jorge Mendes, emerged in the lead-up to Chelsea's Champions League game in Bordeaux last week.
In response, Drogba would only reiterate that he has a Chelsea contract until 2010, a fact not lost on Kenyon.
"Whether people leave Chelsea is as much down to us as anybody else," said Kenyon. "I don't know whether he did or he didn't [meet Inter representatives].
"But he's a big player for us and we want him back.
"He's one of those players who can make a difference."
On the prospect of January transfer signings to strengthen Chelsea's squad, Kenyon added: "I don't think we will be doing any business because the type of players we are looking for are not available.
"Another reason is that we have still got some long-term injury victims coming back."
