But Kenyon dismissed reports saying Chelsea are ready to pay a reported £50million to prize Wayne Rooney away from Everton.
Kenyon admitted he had been impressed, like everyone else, with Rooney's performances in Euro 2004 but played down talk of a bid for the England wonder boy.
"Wayne Rooney's been the talk of the tournament. He's been incredible, particularly coming off a fairly average season. But there's so much speculation, and if we started reacting to all the speculation we would literally do nothing else." Parry admitted last week that he faced an uphill task to keep Gerrard away from the lure of Roman Abramovich's millions.
"I spoke to him three weeks ago and we knew he was not happy with how things were going. He was down and said he didn't regard fourth (in the Premiership) as any sort of achievement. His concerns were fairly deep seated," said Parry.
Meanwhile, Chelsea are hopeful of completing the signing of Paulo Ferreira, 24, by the end of this week. They have agreed a £13.2m fee with Porto for the fullback but must wait until Euro 2004 ends to seal the deal.
Kenyon said: "We agreed terms with the club on Monday, clearly he's in the Portugal squad so we can't conclude the deal yet. We can finalise it as soon as Portugal are out of the tournament which, hopefully, is Friday."