I know at least one example of a tenement house, where the "city landmark preserver" (a person responsible for preservation landmarks and other old builldings from the municipal office) disagreed to change the 19th-century windows. Unfortunately the owner doesn't have money for their renovation, so they are in poor condition. In winter they have to fill the hole between the window sash and window frame with cotton wool to protect the interior from cold.
Another example - a school, where there was a permission to change the front windows into wooden ones only (the back ones got a permission to be changed into plastic ones). Probably they weren't so valuable as the ones in the previous case.
Interestingly one of the London Boroughs has just insisted that an old building which a developer destroyed without prior permission be rebuilt brick by brick. I would like to see this in Lodz.
There was one such case in £ódź not a long time ago. Although not in the centre, but in Radogoszcz. A villa in Zgierska street.
dzienniklodzki.pl/artykul/3659424,zburzenie-willi-langego-przy-zgierskiej-michal-l-zaczal-odbudowe-zniszczonego-zabytku-wideo,id,t.html
Up to now only one case, but I hope that it will change.
See that it's always possible to dismantle a satellite dish. This is not a problem. With demolishing an old building (or with "mysterious fires" after which a building has to be demolished to prevent it from collapsing) is much worse. Although such building can be rebuilt from scratch, it's no longer an old building.
An interesting and known example in £ódź is a tenement house which was bought some time ago by an electrical energy company, for offices. 58, Piotrkowska street. It was in a very poor condition, so while buying they promised to demolish it and build it again from scratch. They managed to demolish it, but then they got taken over by another energy company, which no longer needed this building. For a few years in front of the demolished house there were boards with pictures of how it is going to like after the rebuilding, but when the people began to see that nothing happens for such a long time, they replaced these boards with gray waves :)
A group of dwellers collected even money and bought a place on a bilboard next to the premises of this company in £ódź (not far away from this demolished building) to publically ask this company what happened with their promise.
Here you can see a picture how it looked originally:
piotrkowska58.pl
Here is how it looks now:
goo.gl/maps/G8GN4
The blue building behind is the current premises of the company.
Another problem which is more severe than satellite dishes is isolating such houses from heat with styrofoam, often hiding some architectural details.