When we played with 2 strikers, we often had 4 in the squad. And you already answered your own question, City has Alvarez, Argentina's best striking prospect, Arsenal has Nketiah, who average about 1 in 3 in the PL and technically good enough to spearhead them in the absence of Jesus without affecting their style of play, Tottenham has Richarlison who started at the WC for Brazil and was the star man for a PL club for years, even West Ham has Antonio/Ings competing with each other. Of course, the striker's well is dry this past decade and most of those names don't measure up to strikers of years gone by, but their quality comparatively to their peers are similar to Sheringham/Solskjaer to the other strikers of their era.
And I focus on his Burnley stint because it is the most relevant to whether he can cut it at this level. In case you haven't noticed, his record at United so far is near identical to that of his at Burnley. That's not a team problem, that's a player problem.