Poppycock. Obastard can sign all the international agreements he wants but without 2/3 of the Senate to ratify it, it means nothing.
All Obama needs to do is sign a agreement, and have Congress write a Federal law that mirrors the agreement and pass it with simple majorities. In the Senate, they go nuclear with it. Then, it becomes law. In this way, Obama avoids having to get 2/3’s of the Senate to ratify it.