In the UK, the consent to freeze embryos requires both parties (female and male) to maintain joint control over the use of the embryos and both parties have veto control over the use of the embryos.
In 2007, a cancer survivor with joint custody of embryos with her ex-fiancee lost her legal case to use the embryos because the ex-fiancee withdrew his permission. She no longer had fertility after the cancer treatment while he was free to procreate with another partner.
The authors argue for a consent with choice that would allow one party to maintain control over the use of the embryos.
In the US, we do not have the strict law of the UK (I am not a lawyer and do not pretend offer legal advise) and the laws will vary from state to state. This European case suggests that couples who with embryos, particularly when one party has cancer and faces sterility without the use of the frozen embryos, should consider legal consultation to decide who controls the embryos.