''Dogs mustn't be in the parks'' Why not?

The other day we were in class and we gave some opinions and we had to say if we agreed or not and a classmate said that 'dogs mustn't be in the parks', something that I really disagree with.

I disagree because dogs has the right to be in a park like all of us, I believe in animal equality and I think that if a person can be in a park, why can't a dog? If the problem is that you think the dog will be dangerous you can use a muzzle (something that I don't like but..) but the best way to end with all this struggle is to create a place where all the dogs can be free and running with their owners and being happy, because dogs deserve that.