Like before news of Europe came to Asia they discovered a new continent did an Asian nation or someone from those nations ever try to Sail the Pacific for like a sea-route to Europe or any other reason?
More can of course be said (and I'll make some additions here as well), but this past answer covers a decent chunk of the reasons why it wasn't done.
A factor I only allude to in that answer, though, is the simple matter of distance. The Pacific is big. It is true that the distance from, say, Hokkaido to the Aleutians isn't that huge, but if we're talking movement from the major concentrations of seafaring populations in China or Japan to the North American continent proper, we're talking quite substantial distances. To list just a few of these potential trans-Pacific voyages, as the crow flies and ignoring any pesky intermediate landmasses (rounded to the nearest 100km):
| Destination | From Shanghai | From Yokohama |
|---|---|---|
| San Francisco, CA | 9,900 | 8,300 |
| Vancouver, BC | 9,000 | 7,600 |
| Honolulu, HI | 7,900 | 6,200 |
| Anchorage, AK | 6,900 | 5,600 |
| Wales, AK | 6,000 | 4,800 |
By contrast, some distances from Europe to various destinations in the eastern Americas:
| Destination | From Lisbon | From Bristol |
|---|---|---|
| Halifax, NS | 4,500 | 4,500 |
| New York, NY | 5,400 | 5,400 |
| Santo Domingo, Dom. Rep. | 6,200 | 6,800 |
| Recife, Brazil | 5,800 | 7,300 |
As you can see, the distances generally favour trans-Atlantic travel over trans-Pacific. Even if you're expecting our intrepid East Asian explorers to be aiming for the coast of Alaska, someone from the British Isles would still start out closer to Newfoundland.
Of course, another matter is seafaring technology: around the 1450s, European maritime powers developed the caravel, which had considerably better handling on the high seas than their predecessors, and which enabled long-distance voyaging down and around the coast of Africa and, eventually, across the Atlantic to the Americas. By contrast, no such leap in maritime technology took place in Asia, and the existing traditional ships, while more than adequate for regional voyages, were not well-suited to trans-Pacific expeditionary travel.
But the key thing, as I stress in that past answer, was motive. The development and adoption of the caravel in Europe, and consequent ability to reliably cross the Atlantic, went hand in hand with ambitions to gain direct access to lucrative markets in Asia. But Asian polities... were in Asia already. Why leave?