The gas company are closing their Hinckley site to move to Ansty near Coventry.
A planning application has been submitted to demolish the current Cadent site and build up to 110 houses on the land off St Georges Avenue.
Accompanying the houses would be a car park of around 70 spaces for existing offices.
The proposal has been put forward by developers Fisher German.
On Facebook a number of residents voiced concerns over the impact on traffic in the town, with one describing the roads as already being a 'racetrack'.
Cadent has a large call centre on Brick Kiln Lane that deals with queries for the whole country. The proposals include moving this facility to Ansty Business Park.
The head office is located in Prologis Business Park on the edge of Coventry just off Junction 3 of the M6.
At the time of the annoucement to close in May,
Bill Cullen, Hinckley & Bosworth Borough Council’s Chief Executive said:
"Cadent have been a valued partner on the local Employment and Skills Partnership and on the local Employability and Internship programme and we hope this will continue. However, due to the fact that they are moving to a hybrid model of home and office working we expect many Cadent employees will remain in this area. We will work closely with our partners to offer support to affected employees."