The 22-year-old is keen to stay at Upton Park, despite suffering relegation with the club last season, following a £3million move from Midtjylland.
Reid, a New Zealand international, signed for the Hammers after impressing during the 2010 World Cup in South Africa.
The new West Ham boss is understood to be keen on shipping the player out of the club or sending him out on loan.
However, Reid told the Daily Mirror: "I want to stay. We have a job to do getting West Ham back into the Premier League.
"I have not spoken to the new manager but I don't think I will be loaned out or sold."
The player failed to cement a regular first-team place and only made three appearances under Avram Grant after suffering an injury early on last season.
He scored his only goal of the campaign in the club's 5-1 FA Cup victory over Burnley in the fifth round.