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The Virgin of Guadalupe appeared on Tepeyac Hill in Mexico City in 1531.  This location has been determined to be in the geographical center of North and South America, and that is on a globe earth, with curvature, parallel lines of latitude, and non-parallel lines of longitude. But flat-earthers can't seem to understand that kind of thing, to their discredit.
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Therefore it is most possible to determine whether Jerusalem is in the center of something, or not. But as far as that goes, any point on the surface of the earth could be considered the center of all the earth's surface. Again, flat-earthers will find that going right over their heads, like the moon and sun do.
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The fact that the earth is a globe is in evidence all around us, if we will open our eyes and use our minds to think logically. But flat-earthers abhor logic and reason, because it challenges their sacred cow, a false god by the way. They're breaking the First Commandment!
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Again, the same kind of argument that insists that your version of what *you think* somehow can't include flat earth. However, what you think IS, will not change what actually IS.  

Not only is Jerusalem in the middle of the world according to Catholic teaching, it is also certain that the Church taught that there are no antipodes, which was widely accepted and promoted for a thousand years or more.

•The great authority of Augustine, and the cogency of his scriptural argument, held the Church firmly against the doctrine of the antipodes; all schools of interpretation were now agreed--the followers of the allegorical tendencies of Alexandria, the strictly literals exegetes of Syria, the more eclectic theologians of the West. For over a thousand years it was held in the Church, "always, everywhere, and by all," that there could not be human beings on the opposite sides of the earth, even if the earth had opposite sides; and, when attacked by gainsayers the great mass of true believers, from the fourth century to the fifteenth, simply used that opiate which had so soothing an effect on John Henry Newman in the nineteenth century--securus judicat orbis terrarum.

•pg 104 War Between Science and Theology…White

Regarding Jerusalem in the center of the world:

The book of Ezekiel speaks of Jerusalem as in the middle of the earth, and all other parts of the world as set around the holy city.  Throughout the "ages of faith" this was very generally accepted as the direct revelation from the Almighty regarding the earth's form.  St. Jerome, the greatest authority of the early Church upon the Bible, declared, on the strength of this utterance of the prophet, that Jerusalem could be nowhere but at the earth's center; in the ninth century Archbishop Rabanus Maurus reiterated the same argument; in the eleventh century Hugh of St. Victor gave to the doctrine another scriptural demonstration; and Poe Urban, in his great sermon at Clermont urging the Franks to the crusade, declared, "Jerusalem is the middle point of the earth"; in the thirteenth century and ecclesiastical writer much in vogue, the monk Caesarious of Heisterbach declared, "As the heart in the midst of the body, so is Jerusalem situated in the midst of our in habited earth,--so it was that Christ was crucified at the center of the earth."  

Ezekiel 5:5 This is what the Sovereign LORD says: This is Jerusalem, which I have set in the center of the nations, with countries all around her.

Ezekiel 38:12, the Jєωιѕн people are referred to as the people who live at the "center of the world." And actually, the literal Hebrew reads, "the navel of the world."

Waiting for answers on Church teaching.