That’s not correct. Canon law for the Eastern Catholics is the same as canon law for the Roman Catholics, according to CCEO canon 599 which states:
This pertains to the universal ordinary magisterium of the Roman Pontiff.
Not according to the Roman Pontiff who promulgated it, nor according to the current Roman Pontiff who led the effort in developing it, working with Eastern bishops in doing so.
Quoting canon law, even the Eastern Code, is not necessarily the best way to go about convincing an Eastern Catholic, particularly since the Eastern Code is essentially a Roman document, written by Romans, then imposed on the Eastern Churches. Our Patriarchs have more authority than the Code. And you must respect the Eastern mindset towards the Code: “It’s more like guidelines than actual rules.”
The statement from the Code, however, also pertains to the Magisterium of our bishops, who have full authority over their particular Churches. Our bishops, time and again, have professed their adherence to the teachings of Orthodoxy as being the authentic teachings of our particular Churches. Again, we turn to them to interpret Scripture and Tradition, and not to the Roman Pontiff.
With regards to the CCC, it’s nice that a Roman Pontiff considers it universal, but that’s his opinion. The Tridentine form of the Mass was also considered at one time to be universal, as has the Latin language. What has become of those things? And what relevence do they have for Eastern and Oriental Catholics.

As much as I love and respect the CCC as a beautiful expression of the Faith, I recognize it for what it is, ultimately a Roman expression.
With regards to Ecumenical Councils, the Roman Pontiffs since Paul VI have referred to them as General Synods of the West. So even by the Popes they have not necessarily been considered ecumenical. It has been recognized also that each of the post-Schism Councils have been called in response to problems that had arisen in the West and had no bearing on the East. In dealing with these issues the Councils formed expressions of the Faith that, while they do not contradict the essential deposit of the Faith, are essentially Roman, dealing with Roman theological and disciplinary issues. They simply have no place in Eastern Christianity.
Finally, where do we turn for a definitive list of Ecumenical Councils? Eastern Catholics and Orthodox, following the rule of
lex orandi lex credendi, honor the Seven Ecumenical Councils and recognize that at these Councils the essence of our Faith was recognized, formulated, and proclaimed. Even the catechetical materials for Eastern Catholics in the United States, published by our Eastern Catholic bishops, only recognize the Seven Ecumenical Councils.
All this being said, I have found no real contradiction between the Roman expression of the Faith and any of the Eastern or Oriental expressions of that same Faith. In essentials we believe the same things, as professed in the Creed (unfortunate as is the addition of the filioque). Our expressions, however, are very different and often seem contradictory on the surface. To paraphrase St. Augustine: in that which is necessary, unity; in that which is not necessary, diversity; in all things, charity.