However, over the revelations of lewd text exchanges revealed during the trial the IRFU and Ulster, following an internal review, revoked the pair's contracts saying in coming to the decision they acknowledged their "commitment to the core values of the game - respect, exclusivity and integrity".
Ulster head Shane Logan also rejected criticism that the two players had been effectively hung out to dry by their club and country.
Asked about their chances of appearing for Ireland, he said: "The position is joint".
"The statement is clear and it is not something that we are contemplating".
For a club to be linked in the media with players they have no or little interest in is nothing new, but the decision to publicly deny those rumours is rare, usually reserved for players still under contract at the end of a season or clubs who have been linked to a player out of their reach financially.
Jackson said he was "deeply disappointed" with the outcome, but recognised that his behaviour had "fallen far short of the values expected of me as an worldwide player, a role model for the game of rugby and as a son and a brother".
"We get linked to lots of players, it's just not on our radar, it's nothing to do with us really".
"There is no contact between Paddy Jackson and the club and no desire on our part to engage his services".
"The Irish out-half will not come", Azéma stated, before adding that the club have sufficient resources in the half-back department, naming Camille Lopez, Patricio Fernandez, Ice Toeava and Dorian Lavernhe.
"With the constraints imposed by the Salary Cap, it is not possible to strengthen the position of opener where the internal solutions are numerous".
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