one-party or two-parth states require that (in the first instance) ANY party to the conversation may record the TELEPHONE conversation; and, in the second instance, ALL parties to the TELEPHONE conversation MUST give permission to be recorded.
It doesn't matter if the conversation is a conference call or not. The above rules apply.
Oklahoma is a one-party state.
HOWEVER:
It is illegal in Oklahoma to do the following:
willfully intercept (through the use of a device), attempt to intercept or have another person intercept any wire, oral or electronic communication;
willfully use, attempt to use or have another person use any device to intercept an oral communication; or
willfully disclose or attempt to disclose any information concerning the substance, purport or meaning of a communication if one knows or has reason to know that the information was obtained in violation of the statute.
It is also illegal to possess a device with the intention of "rendering the device primarily useful" for illegal interception of communications in violation of the statute, or to use "any communication facility" to violate the statute.
Violation is a felony punishable by up to five years in prison, a fine of up to $5,000 or both. Any device used or possessed in violation of the statute may be seized and forfeited to the state.
Cordless telephone communications are not protected under state law.
Reasonable expectation of privacy
The statute requires a reasonable expectation of privacy for oral communications. To be protected, an oral communication must be uttered by a person exhibiting an expectation that the communication is not subject to interception, under circumstances that justify that expectation.
An appeals court ruled in 1990 that a criminal suspect did not have a reasonable expectation of privacy in the back of a police car, so that a surreptitious tape recording of his conversation with another passenger there did not constitute a violation of the statute.