IPA: /pəˈleɪʃəli/
KK: /pəˈleɪʃəli/
In a way that is grand, luxurious, or suitable for a palace.
The hotel was palatially decorated, with gold accents and crystal chandeliers.
Palatially → It is formed from "palatial" (from Latin *palatialis*, meaning of or pertaining to a palace) and the suffix "-ly" (meaning in a manner of). The word "palatially" means in a manner that is characteristic of a palace, suggesting grandeur or opulence.
Think of something being done in a way that reflects the grandeur of a palace — 'palatial' relates to palaces, and '-ly' indicates the manner of doing it.