It's much the same as the issue that was raised a few days ago, where your employer instructs or expects you to lie. The only way they have to "force" you is to threaten dismissal; this is insufficient to justify the terms "compel" or "force".
A police officer holding a Glock can compel you. Your boss cannot.
I had the same issue when my EU-based employer was sold to an US company. My personal data suddenly went from EU to US-based HR systems without my consent. Resigning would not have fixed anything. My personal data will be in the US forever.