Power of Attorney for Gregory F. Conaway

Gregory F. Conaway, Vice President & CAO of Coterra Energy Inc., has executed a Power of Attorney appointing Adam M. Vela and Marcus G. Bolinder as his attorneys-in-fact. This authorization allows them to act on his behalf in filing statements on Form 3, Form 4, and Form 5 with the Securities and Exchange Commission (SEC) and any national stock exchange, in compliance with Section 16(a) of the Securities and Exchange Act of 1934. The Power of Attorney remains in effect until Conaway ceases to be an officer of the company. The document was executed on August 11, 2025, and acknowledged by a notary public in Harris County, Texas.