‘It must first be reiterated that with extraordinary few exceptions no educated person in the history of Western Civilization from the third century B.C. onward believed that the earth was flat. A round earth appears at least as early as the sixth century BC with Pythagoras, followed by Aristotle, Euclid, and Aristarchus, among others in observing that the earth was a sphere. Although there were a few dissenters - Leukippos and Demokritos for example - by the time of Eratosthenes (3c. BC), followed by Crates (2c. BC), Strabo (3c. BC), and Ptolemy (first c. AD), the sphericity of the earth was accepted by all educated Greeks and Romans. Nor did this situation change with the advent of Christianity. A few at least two and at most five early Christian fathers denied the spherically of earth by mistakenly taking passages such as Ps. 104:2-3 as geographical rather than metaphorical statements. On the other side tens of thousands of Christian theologians, poets, artists, and scientists took the spherical view throughout the early, medieval, and modern church. The point is that no educated person believed otherwise.’ --- Jeffrey Russell: summary of Inventing the Flat Earth: Columbus and Modern Historians (1997)

“All educated persons of Columbus’ day, very much including the Roman Catholic prelates, knew the Earth was round. The Venerable Bede (673-735AD) taught that the world was round, as did Bishop Virgilius of Salzburg (700-784AD), Hildegard of Bingen (1098-1179), and Thomas Aquinas (1224-74). All four ended up saints. Sphere was the title of the most popular medieval textbook on astronomy, written by the English scholastic John of Sacrobosco (1195-1256). It informed that not only the Earth but all heavenly bodies are spherical.’ --- Rodney Stark: Catholicism and Science, Stark, 9/2004.

There really is no question that The Bible does.  

" The Biblical cosmology is never explicitly stated, so it must be pieced together from scattered passages. The Bible is a composite work, so there is no a priori reason why the cosmology assumed by its various writers should be relatively consistent, but it is. The Bible is, from Genesis to Revelation, a flat-earth book."

"In my view, all arguments to prove the Bible teaches a spherical earth are weak if not wrong- headed. On the other hand, the flat-earth cosmology previously described is historically consistent and requires none of the special pleading apparently necessary to harmonize the Bible with sphericity."

taken from, "The Flat Earth Bible," by Robert Schadewald
https://www.lockhaven.edu/~dsimanek/febible.htm

Some readers have misinterpreted this docuмent, supposing that Bob Schadewald is defending the idea that the earth is flat. That was not his intent. Some fundamentalist Christians are uncomfortable with the many passages in the Old Testament that seem to support the flat earth model, clearly contradicting abundant scientific evidence that the earth is a round and spinning ball. See: Is the earth a round, spinning ball. So they rationalize and re-interpret these passages to defend their faith that their Bible is without error. Bob, in this essay, tries to show that they can't get away with this cheap trick, for the writers of the Bible really did believe the earth to be flat. 

Here is a good quote as to how Catholics should look at this topic, the bold parts especially:

The majority of scholars consider St. Augustine to have believed in globe earth and that is my own impression from reading various passages.  There is one major Augustinian scholar who claims that he believed in flat earth.  The reason it is debatable is that Augustine did not make any direct statements on the issue.  Because he did not think it had any spiritual significance.

There are, at most, five Fathers who wrote about the earth being flat.  Some of these statements are ambiguous.  There are perhaps two of them that are clear.  The idea that there is support for flat earth among the Fathers is an exaggeration, originally promoted by anti-Catholics to discredit us.  

St. John of Damascus wrote a summary of the teaching of the Fathers which, coming from a Doctor of the Church, is a highly credible source.  He said that some Fathers believed the earth to be flat, some believed it was a globe, but that it is a matter of no significance.

Personally, I don't care  much about the shape of the earth either.  My interest in this subject is that I do not want to see Church teaching misrepresented.  I don't care if you think the earth is flat.  Just don't say that this is a Catholic teaching or that it was the consensus of the Church Fathers.