To answer the question, let's connect the dots in the rulebook.
On YS203 the following quote is found:
Stress is a transitory thing, but sometimes conflicts will have
lasting effects on a character— serious injuries, embarrassments,
phobias, and the like. These effects are collectively called
consequences, and they are a special kind of aspect.
The emphasis on aspect is mine- put in to show that a consequence is an aspect. This is not the only place that a consequence is referred to as an aspect, either, so it is intentional, i.e. on YS204 the following quote is found:
Also keep in mind that, because a consequence is an aspect, it can be
tagged, invoked, and compelled like any other aspect. Opponents with
fate points will take advantage of this, because invoking a
consequence to help win a fight is very easy to justify. Further, the
attacker that inflicted the consequence gets one tag on it (which he
may give to an ally), just like aspects placed by a maneuver.
With that in mind, we go back to the standard rules for compelling an aspect, i.e. on YS98:
Compel: Either receive a fate point when one of your character’s
aspects works to his disadvantage, or spend a fate point to avoid that
disadvantage.
One other thing to note with Consequences as Aspects: All the rules for aspects apply, so if appropriate, you can invoke one of your own consequences for a positive effect, something which people sometimes miss.