Will switching from an employment ARC to a Gold Card affect my ability to get an APRC?

There is no issue if you maintain consecutive residence. Ensure there is no gap between the validity of your employment ARC and your Gold Card. Alternatively, if you hold the Gold Card and reside in Taiwan for three consecutive years, with an average stay of more than 183 days per year during this period, you may also meet the residency requirement for permanent residence.