Kearney, 18, was this week linked with moves to the west London Championship rivals on the strength of 29 goals for Hayes' youth team this season.
But first team boss Haylock dismissed it as speculation and hopes to see Kearney develop at his own pace with the Conference South club.
He said: “I spoke to Andy Impey at QPR on Monday and Jon De Souza at Brentford on Tuesday, and Dylan was not mentioned once. These are people we have a relationship with who only have to pick up a phone, but Dylan is going nowhere.
“We're talking about a talented kid, but he couldn't get a game when he went out on loan to Flackwell Heath. He's the star of the youth team at the moment, but men's football is a big step up from U18s football.
“I'm sure if he scored 29 goals for our first team he'd be off. He's under contract, and we won't be putting any pressure on him. I look forward to seeing him develop here over the next 18 months or so.”
Kearney, who bagged a brace for the U18s in their 5-2 win at Ashford Town (Middx) last night, is yet to score in eight starts and 16 substitute appearances for the first team.
But he signed a first team contract last summer after finishing as top scorer in their Ryman Youth League winning side, and helped knock Brentford's U18s out of the Middlesex Youth Cup with a superb volley.
The first team, meanwhile, have four games to save their Conference South status, starting away at Oxford City this Saturday.
They went down 5-0 to league leaders Ebbsfleet United last Saturday, but Haylock added: "The performance was not as bad as the result suggests."