"frankly discuss" is correct and usable in written English.
It can be used when someone wants to have a frank, open, and honest conversation about a subject. For example: "Let's frankly discuss the pros and cons of this decision before making a final decision."
"Our response was enormously muted". The former diplomat spoke on the condition of anonymity to frankly discuss policies being carried out by former colleagues.
The advisers, speaking on condition of anonymity so that they could frankly discuss their strategy, predicted that Mr. Romney and groups backing him would spend $1.25 billion on television advertising.
Only they, meeting regularly, can carry into the separate national cabinets an authoritative European voice; only they can frankly discuss and quickly overcome the deeper policy differences, as M. Mollet and Dr Adenauer have done with the common market.
In one segment, a group of doctors frankly discuss their mistakes as part of a mortality and morbidity conference, the (normally) closed internal forum hospitals use to review their practice.
Within your collaborative projects and within the larger circle of scientists who closely follow the collaborative work, it is fair and useful to frankly discuss your career development.
Wednesday's Business Forum in New York, which President Obama, African heads of state, and American and African CEOs will attend, provides a great venue to ink investment deals and frankly discuss these issues.
"But it requires that disagreements be frankly discussed.
The King described his conversation with FM Mottaki as "a heated exchange, frankly discussing Iran's interference in Arab affairs".
The director says that the bank's board had become obsessed with the low rating of its shares, even "frankly" discussing if Sir Fred was to blame.
Here and there the consequences of the women's obesity are frankly discussed, but the program is nonjudgmental; we're here to root for healthy babies.
Now notorious features on the show included going underwear shopping with Kylie Minogue, frankly discussing sex with Carla Bruni and artists who painted with their own semen.
