He takes on the role of leading the Premier League club's player trading activity.
Hammond has a wealth of experience, having served as a transfer consultant at Leeds United and Newcastle United in recent years.
He joined Celtic in 2019 before moving to Newcastle United in 2021.
Angus Kinnear, the new Everton CEO, said: "I'm delighted with the appointments of Nick, James, and Nick.
"Their CVs speak for themselves; they are exceptional operators, hugely respected in the game and an example of the ambition we hold as a club in ensuring the pathways and structures in place across our football operations are of the very highest standard.
"The fact we had such exceptional candidates for these positions is also a reflection of the direction of the club.
"I'm equally delighted by our appointment of Chris and ownership's strategic acquisition of Insight Sport, which is a further sign of our ownership’s ambition for Everton and I believe step-changes our analytics capability and will deliver us a long-term competitive advantage."