The takeover of the Gulls by Swindon-based Gaming International (GI) was confirmed on Tuesday.
Prior to the deal being finalised, Nicholson had said he was unsure what it meant for his own future.
"They have got to show that they are in it for all the right reasons, and they assure me that they are," the 36-year-old told BBC Radio Devon.
"I spoke to them very openly and honestly, making them aware their takeover has not been overly positively taken (among fans). They're aware of that.
"These guys have got a lot to prove but they have technically saved Torquay United right now."
Nicholson, who has been in charge since September 2015, continued: "They've got to gain the trust of thousands of Torquay fans."
"We're going to sit down and put together a five-year plan and then we're going to hold a forum as soon as possible so that these fans that are worried can come in."
Torquay are currently 17th in the table, and play Forest Green Rovers at home on Boxing Day, before a trip to Gloucestershire for the return game to start the new year.

The bodies of Lukasz Slaboszewski, 31, Kevin Lee, 48, and John Chapman, 56, were found in ditches 10 miles (16km) apart in Newborough and Thorney.
Joanna Dennehy, 31, of Bifield, Orton Goldhay, Peterborough, pleaded guilty at the Old Bailey earlier.
The bodies of the victims were found in March and April. All three had been stabbed.
Dennehy admitting killing Mr Slaboszewski between 19 and 29 March. He had been stabbed in the heart, post-mortem tests showed.
She also pleaded guilty to murdering both Kevin Lee and John Chapman on 29 March.
Mr Lee died from stab wounds to the chest, and Mr Chapman had been stabbed in the neck and chest, tests revealed.
Dennehy also admitted "preventing the lawful and decent burial" of all three murder victims.
She also pleaded guilty to two additional charges of attempting to murder two other men.
After entering her pleas, Dennehy told the judge, Mr Justice Sweeney: "I've pleaded guilty, and that's that."
Her barrister, Nigel Lickley QC, said: "The course of the arraignment is not one we had anticipated."
Also in the dock was Gary Richards, 47, of Riseholme, Orton Goldhay, Peterborough - also known as Gary Stretch - who denied three charges of preventing the lawful burial of the bodies of Mr Slaboszewski, Mr Lee and Mr Chapman.
He also denied attempting to murder the two other men.
Two other defendants appeared at the hearing by videolink.
Leslie Layton, 36, of Bifield, Orton Goldhay, pleaded not guilty to perverting the course of justice at an earlier hearing, while Robert Moore, 55, of Belvoir Way, Peterborough, denied assisting an offender.

The man's blue Ford Focus and a red HGV collided between the Warrix Interchange and Corsehillmount roundabout, near Dreghorn, at about 20:50 on Wednesday.
The car driver died at the scene. The 36-year-old man who was driving the lorry was uninjured.
Police have appealed for anyone who witnessed the crash or who may have any information to contact them.
Manager Kevin Nicholson says Torquay United's new owners must earn the trust of the National League club's fans.
[NEXT_CONCEPT]
A woman has pleaded guilty to murdering three men whose bodies were found in ditches in Cambridgeshire.
[NEXT_CONCEPT]
A 45-year-old man has died after the car he was driving collided with a lorry on the A71 in North Ayrshire.