After being asked by Chris Morgan to assist with first team affairs until the end of the season, David Unsworth said Thursday's training session at Shirecliffe was conducted at 'full throttle'.
Unsworth believes the quality within the playing staff can't be questioned ahead of the remaining five matches, but the former defender, who won promotion to the Premiership with the Blades in the 2005-06 season, insists the players must play with a real belief and an element of freedom.
Speaking after the announcement that Wilson had left Bramall Lane, Unsworth said: "It is never nice to see anyone lose their jobs, especially with two men like Danny (Wilson) and Frank (Barlow) who have both been fantastic with me since I returned to the club last December.
"The people they are was demonstrated when they wished everyone well upon leaving the training ground, telling the staff and the players to go out and finish the job they started last August and get Sheffield United back into the Championship.
"Of course the team has struggled at home of late, that is plain to see, but it hasn't been for a lack of trying that is for sure.
"Football is a game of such fine margins as we saw on Tuesday night and it is down to Morgs and myself to ensure the players retain that belief for the last five matches because we have some talented footballers within the squad.
Unsworth, who led Thursday's training session ahead of Saturday's clash with Swindon Town, added: "The session was easily one of the best I have ever seen since becoming a coach and that is not said for effect.
"The lads, to a man, will be disappointed and slightly shocked to see the manager leave, but they trained at full throttle and that type of response showed all the staff how determined and desperate they remain for promotion.
"Now as we prepare to welcome Swindon to Bramall Lane, they players must replicate that type of showing at 3pm on Saturday afternoon, what I do know is they are more than capable of being successful in the games ahead."