$1 trillion per Bitcoin, or a $1 trillion market cap? It's already been over $300 billion before, so achieving $1 trillion is certainly within the realm of possibility.
However, it certainly won't ever achieve $1 trillion per BTC, since that would equal a market cap of 21 quadrillion USD, which I believe is higher than the total asset + fiat + credit values of everything on earth.
In any case, he should at least post some supporting evidence with his bold statement. Though I believe he is correct, how do you arrive at $1 trillion? To me, it seems like it should be closer to $3.5 trillion—given that the market cap is currently $170 billion and only around 5% or less of the world's popular has invested in BTC (probably closer to 1% overall.)