Bristol City manager Sean O'Driscoll was highly critical of his side after they lost 3-1 at home to Huddersfield.
The Robins already knew they would be playing in League One next season but O'Driscoll felt their lack of effort was hard to defend.
On-loan Norwich striker James Vaughan helped himself to a hat-trick for the Terriers, with Lewin Nyatanga's stoppage-time headed goal scant consolation for the home side.
"That performance was the worst since I came here and totally unacceptable," said O'Driscoll.
"We played without pride and I can assure supporters that won't happen again.
"We owe them an apology. In our last game at Hull we looked as though we shouldn't be relegated, but today we showed why we are going down.
"Basically we are not good enough. The home performances since I took over have been consistently encouraging, even when we have been beaten.
"Losses are inevitable at times and it is how you lose that counts. We have a lot of work to do during the summer and need to man-up."
The hosts were 2-1 up after a first Notts goal for youngster Tyrell Waite and a Krystian Pearce strike which came either side of a cracking leveller by John Fleck.
However, the Sky Blues were rewarded for their late pressure against the tiring Magpies when substitute Franck Moussa secured a point with an 87th-minute equaliser.
Pressley said: "I thought we were excellent, bar a 15 minute period in the first half. We started the game really brightly and had some good opportunities but then we lost our way a bit.
"The second half was as good as we have played for a while and we controlled the game for long periods. I thought we were very unfortunate not to win the game.
"I'm very proud of the performance and of the reaction. It was the final game of the season and to go behind twice and to show that desire is terrific.
"We had a real responsibility to the supporters today as I thought they were wonderful. They turned out in their numbers again and gave terrific support.
"So I'm pleased with our work, just disappointed we couldn't win it."
County were 2-1 up after a first Notts goal for youngster Tyrell Waite and a Krystian Pearce strike which came either side of a cracking leveller by John Fleck.
However, the Sky Blues were rewarded for their late pressure against their tiring hosts when substitute Franck Moussa secured a point with an 87th-minute equaliser.
Kiwomya admitted that he was frustrated not to record a final-day win.
He said: "We were out on our feet and we just tried to hang in there at the end. We put a lot in last week in the win at Doncaster and you could see we were struggling.
"I didn't have any other strikers available so when Tyrell Waite came off I didn't have any strikers to come on to take the pressure off.
"Their goals were disappointing. We gave Doncaster nothing last week and put our bodies on the line so it was frustrating to lose two goals like that."
Kiwomya added that the work had already started on shaping a new team for next season.
He added: "I'm starting to rebuild now and I will change the face of the team and try and get a team that can play.
"I've found out one or two things about the players we've got here so that helps make decisions. I've been watching other games and looking at other players who I think can fit in with this team."
James Constable, Deane Smalley and Sean Rigg were on target as Oxford ran out 3-0 winners on the final day, while Lee Molyneux saw red for Stanley in the 89th minute.
"We are disappointed as we wanted to finish with a win but I can't be too negative as the players have been fantastic," said the Stanley manager, whose side were bottom of the League Two table at one point but one defeat in eight prior this reverse secured their survival.
"Perhaps this was a game too far but I have got to give the players credit and it's nothing short of a minor miracle what they have done.
"I have started having conversations with the players now about contracts for next season.
"We will be trying to keep the nucleus of the squad together and then build from there."
