Its Just Giving page said: "We think it is very important to help our local community, so we want to help to raise funds to help with the fix of an emergency response vehicle".
In the capital, the London Ambulance Service tweeted an image showing the damage caused to one of its emergency response vehicles while an officer was attending a call.
Supporters were also seen climbing bus stops in the city.
Police have identified one of the people photographed trashing an ambulance in London.
Nottinghamshire Police said a 27-year-old man had been arrested for damaging a taxi and a number of arrests were made for public order offences.
It said if the insurance company pays for repairs, the money will be donated to the ambulance service.
Meanwhile at an Ikea in east London, fans marauded through the shop bouncing on beds in an apparent effort to celebrate at the expense of the Swedish furniture shop.
But the London Ambulance Service reacted with disappointment to the celebrations, saying fans should be "better than this".
He added that for England's semi-final game against Croatia on Wednesday, there would be an increased police presence and asked people to consider their actions.
"Being both British and Swedish, we were on the edge of our seats during the game and we would like to say 'grattis!' (that's congratulations in Swedish) to the England team for getting through to the semi-finals".
Southgate admitted he had used the high esteem in which the 1966 team - featuring Bobby Charlton and Bobby Moore - are still held as an inspiration for his players.