Sunderland are weighing up a move for Crewe striker Max Clayton, but could be required to pay a reported £1million.
The agent of AC Milan striker Andrea Petagna says Leeds Utd are among the clubs keen on a loan deal for the youngster.
The goalkeeper, 32, put pen to paper after his deal expired at the end of the season.
Esson joined the Highland club from Hereford United in July 2008 following spells with Aberdeen and Shrewsbury Town.
He said: "I'm delighted as it was my preference to stay with the club and my family enjoy living in Inverness.
"The fact that it is a two-year contract gives me the security that I sought.
"The Caley Jags fans have been great for me and it's a relief to have my future sorted out so soon after the final game of the season.
"We suffered badly through an amazing glut of injuries this season but hopefully things will be much more positive in the new campaign."