Scudamore told BBC Radio Five Live’s ‘Sportsweek’ programme: ‘I think they are sending Arsenal Football Club a very clear message.
‘I think that is a clear message Arsenal Football Club have to deal with.
‘There is category pricing at Arsenal. Arsenal, when categorising games and setting prices next season, will have to take that into account.
‘We would like to see 10 per cent or 3,000 fans in those grounds.
‘It is easy to latch onto the Arsenal example. They have clearly made a judgement and I think the Man City fans, in fairness, have done what they should do if they think it is too much and not turned up.
‘It does make people think again and that is actually what the market should do.’
Scudamore was asked whether, in the light of record TV revenue, ticket prices should be lowered at all clubs.
He said that was a complex issue but the overriding aims of clubs should be to ensure their stadia are full with away fans in attendance.
Scudamore said: ‘Absolutely top of our aims and objectives is to put on a show and keep attendances full.
‘The clubs absolutely know where the Premier League stands on this. We want full stadia.
‘Over the last 15 years we have managed to achieve 90 per cent occupancy. This year occupancy is up at 95 per cent and could well reach an all-time high this season.
‘That hasn’t come about just by going on increasing and increasing ticket prices.
‘Clubs across the board are generally working very hard to keep ticket prices at the point where people will still keep coming through the gates.
‘The most important things are – A, we keep grounds full and B, we have rules about making away allocations available to away fans.
‘As a top priority we must keep away fans attending. Clearly it is for individual clubs to get that right.’
There has also been discussion in recent months about the possible provision of safe standing areas at grounds.
All clubs in the Premier League must have all-seater stadia and Scudamore made clear he does not want to see the return of terracing.
‘If anything goes wrong we are, and quite rightly, held to account.
‘There are obviously ways and means of doing it but we have seen some incidences this year where being able to identify who is sat in which seat is a very useful thing to do.
‘From a safety and security point of view, and all-round generally, I wouldn’t want to take the risk.
‘I understand the argument and understand it can be done but I wouldn’t want to see it.’