Oxycombustion systems and oxycombustion methods include thermally integrated ammonia synthesis. The oxycombustion systems may include an air separation unit that separates air into an oxygen stream and a nitrogen stream. An ammonia synthesis unit synthesizes ammonia from a hydrogen feed and the nitrogen stream to form a crude ammonia stream. An ammonia separation unit condenses the crude ammonia stream and separates the ammonia from any unreacted nitrogen and hydrogen to form a purified ammonia stream. An oxycombustion reactor combusts a fuel from a fuel feed stream in the presence of the oxygen stream from the air separation unit to generate hot water or steam. At least one thermal integration may be present in the oxycombustion systems and may be chosen from a reactor thermal linkage of the ammonia synthesis unit with the oxycombustion reactor, a separator thermal linkage of the air separation unit with the ammonia separation unit, or both.