The Chaitanya-charitamrita (Adi-lia, chapter nine) tells us about a metaphorical bhakti plant, of which Chaitanya Mahaprabhu is envisioned as the gardener as well as the trunk and the entire tree itself. This tree evolves in such a way that it goes well beyond Indian shores: “From these two trunks grew many branches and subbranches that covered the entire world.” (9.22) “Thus the disciples and the granddisciples and their admirers spread throughout the entire world, and it is not possible to enumerate them all.” (9.24) “All the parts of this tree are spiritually cognizant, and thus as they grow they spread all over the world.” (9.33) In this way, the Chaitanya-charitamrita offers us the same prediction yet again.
In the original language of the text, these verses use Bengali words like jagat (“world,” “universe”), sabe sakala bhuvana (“all parts of the world”), and jagat vyapiya (“spreading all over the world”). At the time of its writing, hundreds of years ago, this “tree” had of course not yet spread its branches beyond India. But it eventually did.
For those who know the tradition, this prophecy, again, can only point to the work of Srila Prabhupada, and Prabhupada himself says this in his purport to Chaitanya-charitamrita, Adi 9.40:
This prediction of Lord Chaitanya Mahaprabhu’s is now actually coming to pass. The Krishna consciousness movement is being distributed all over the world through the chanting of the holy name of the Lord, the Hare Krishna maha-mantra, and people who were leading confused, chaotic lives are now feeling transcendental happiness. They are finding peace in sankirtana, and therefore they are acknowledging the supreme benefit of this movement. This is the blessing of Lord Chaitanya Mahaprabhu. His prediction is now factually being fulfilled, and those who are sober and conscientious are appreciating the value of this great movement.