Well, Parma didn't think so.
Parma didn't think that the Armada would ever land. In this, he was correct. That isn't to say that he didn't think that the tercios could conquer England. They blatantly would. England's standing army of the time was about 1,000 men organised in bodyguard regiments - the yeomanry, the Royal Archer Company, a few castle garrisons etc. The majority of any English force would be city militia and the London Trained Bands. These units would be stomped all over. Spanish conquest of England would be a foregone conclusion. The only thing is that the ideas for how to get the troops across the Channel were a beautiful addition to the centuries of abortive English invasion attempts. In fact, it was alarmingly similar to both Napoleon and Hitler's plans. They wanted the troops to board these oblong-shaped barges, each to hold 100 men, and to be dragged by the Spanish warships. They believed that this could be done in one go, which was entirely false since Parma's army was 27,000 and the Spanish had 130 ships. On top of this, the Spanish would be forced to refuse combat while dragging the barges as turning much would capsize them. Heck, rough waves would capsize them. It would potentially take four or five hours under decent weather for the Spanish to get half of their army across, and while this half an army alone could conquer England, it would be in disarray, and likely the barges would have been ripped to pieces by the English and Dutch ships, who would be free to attack the barges with the Spanish unable to bring them to bear at all. In fact, it's worse - the army was supposed to embark from Flanders, but Flanders had no deep draft ports to allow the troop barges access to the Armada ships, so the invasion would never even be able to start. The Spanish in Spain blindly believed the Armada would have no trouble completing their goal, even the Admiral (Medina Sidona?) pressed ahead anyway. Parma knew for sure it would fail and gave up before even making an attempt at making it work.
That, ladies and gentlemen, is why Parma stormed off in a grump and marched into Brabant rather than waiting for the Armada to take him across the sea.
But yes, to clearly answer the original question, the Spanish tercios would have no trouble at all in suppressing the English army - if one would even be raised.