Wilson, who earned £60-a-day for taking care of Pompey's training pitches in Eastleigh, said he was amazed by the move, thought to have been suggested by goalkeeper David James.
"You read a lot of bad things about footballers these days," Wilson told the Daily Mail. "But what's been happening here has been amazing."
Pompey boss Grant, whose side host his former club Chelsea at Fratton Park on Wednesday, insisted that staff whose jobs had been saved and those who were carrying on without their former colleagues were key members of his team.
"We have a kit man who works from the morning until the evening and takes care of 11 teams alone," he added.
"He was with two assistants but they are not here now because of the situation. I look at him and I don't know what to say. I admire him.
"I admire these people because they are not in the spotlight but, without them, there is no team.
"Even at Chelsea, where you have players coming and going, you cannot succeed without these people helping us. These people are very special and we live with them day by day.
"I'm very happy the players and staff did what they did. It means a lot to me personally because football is not just a cold business."
The south-coast club employed 166 staff full-time and 154 part-time before it became the first Premier League side to go into administration. The subsequent nine-point penalty has left them 14 points from safety in the Premier League and all-but certain to suffer relegation.
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