Is it permissible to inform people about the transfer of the old website, where intellectual property rights were not respected, to a new address in order to attract donations?

There is no harm in informing people about the website's relocation, provided that intellectual property rights and academic honesty are observed in what is transmitted. As for inviting people to donate, if it benefits you, then it falls under the ruling of asking (for charity), and Islam encourages modesty and refraining from asking people.