Exhibit 99.6

Consent to be Named as a Director Nominee

In connection with the filing by Hudson Executive Investment Corp. III of the Amendment No. 1 to the Registration Statement on Form S-1 with the Securities and Exchange Commission under the Securities Act of 1933, as amended (the “Securities Act”), I hereby consent, pursuant to Rule 438 of the Securities Act, to being named as a nominee to the board of directors of Hudson Executive Investment Corp. III in the Registration Statement and any and all amendments and supplements thereto. I also consent to the filing of this consent as an exhibit to such Registration Statement and any amendments thereto.

Dated: February 18, 2021	/s/ Roni Frank
	Roni Frank