Rabbits, including the English Lop, are widely kept as pets and are generally not subject to the kind of breed-specific restrictions that affect some other companion animals. In most places no special license is required simply to own a pet rabbit, and the English Lop is treated the same as any other domestic rabbit under the law.
That said, rules can vary considerably between countries, states, and even individual municipalities. Some jurisdictions limit the number of animals a household may keep, classify rabbits differently depending on whether they are kept as pets or as livestock, or require permits for breeding or selling rabbits in quantity.
Because local rules differ and change over time, prospective owners are encouraged to confirm the current requirements with their local authorities before acquiring a rabbit. This page is informational only and does not constitute legal advice; checking directly with the relevant agency is the most reliable way to understand the rules that apply in a given area.