I understand that what the text mean is that the person has the right to speak at that very moment. Therefore I would use the expression "to take the floor".

... if he cares to take the floor, and he can talk about further aspects of this
bill. ... Mr. President, we have had a very good debate on this amendment. ...
www.fas.org/sgp/congress/2001/s091301.html - 51k

African Commission on Human and Peoples' Rights, Rules of Procedure - [ Traduzca esta página ]
The authorisation to take the floor on the closure of the debate shall be given
only to two speakers before the closure, after which the motion shall ...
www.hrcr.org/docs/African_Commission/afrcommrules6.html - 11k

170th IPU Council session: Cooperation with the United Nations System - [ Traduzca esta página ]
Exercising the right to take the floor would be subject to agreement by the Chair.
... that had a mandate that was relevant to the debate that took place. ...
www.ipu.org/cnl-e/170-un1.htm - 14k -

FAO - Hundred and Sixteenth Session - [ Traduzca esta página ]
The Joint Meeting agreed that the General Debate, consisting of statements ...
If all the 176 FAO members were to take the floor, not including observers, ...
www.fao.org/docrep/meeting/X2182e.htm - 8k

Good luck!