The phrase "agree to a process" is correct and usable in written English.
You can use it when indicating consent or acceptance of a specific procedure or method that will be followed.
Example: "Before we move forward with the project, we need to agree to a process that outlines our roles and responsibilities."
Alternatives: "consent to a procedure" or "accept a method".
The United Nations, for its part, said it could not agree to a process that falls below minimal standards of international justice.
Better yet, states might even agree to a process whereby, over the next several years, they would articulate specific "stretch" commitments for each, with progress transparently monitored.
Or they could come together -- either in person or through trusted emissaries -- and agree to a process that would bring this election to closure as fairly and responsibly as possible.
Tehran not only blocked access to a site the inspectors believe could have been used for tests on how to produce a nuclear weapon, they reported, but it also refused to agree to a process for resolving questions about other "possible military dimensions" to its nuclear program.
It is, however, a similar concept of having countries and commercial organizations agree to a process for objective risk assessments [1].
Putting that in place for 32 teams among owners in one sport is a lot easier than getting a thousand colleges and university presidents to agree to a process that potentially could affect more than two dozen sports.
Each party agreed to a process which would involve a deadline".
When he signed Mr. Silverman, Mr. Zucker said he agreed to a process in which he, and not Mr. Silverman, would have final say in ordering shows from Reveille.
In 1998, Merrill settled another sex-discrimination class action by agreeing to a process for settling disputes with more than 900 women who filed claims.
Xenophon said on Monday night the reforms were "the most sweeping change to whistleblower laws that this country has ever seen", and revealed the government had agreed to a process to extend them to the corporate and public sectors.
In February 2007, Washington agreed to ease sanctions against banks dealing with Pyongyang, and North Korea concurrently agreed to a process that would lead to the dismantling of its nuclear weapons program.
