Wenger's record has recently come under scrutiny from fans as Arsenal look set to finish the season empty-handed once again yet the Frenchman has insisted supporters should be happy with finishing second in the Premier League after an "outstanding" season.
However, Hill-Wood has now added further fuel to the fire by claiming the fans are having a negative effect on the results on the field.
“We are 100 per cent behind him," said the chairman in a supporters meeting reported in The Mirror.
"That is always a dangerous statement, but I can assure you it has not crossed our minds that we wouldn’t support him 100 per cent.
“I simply cannot believe he will react to these stupid comments from these silly people. They are supposed to be supporters, but, in fact, they do quite a lot of damage.
“We have set the bar high and everybody expects us to achieve that every year, but it simply isn’t possible.
“If you keep changing managers every nine months, you get into even more trouble.”