This paper provides a pedagogical and self-contained introduction to noncommutative quantum field theory, emphasizing its connections to string theory and gravity. It covers key topics such as the Weyl-Wigner correspondence, noncommutative Feynman diagrams, UV/IR mixing, noncommutative Yang-Mills theory, Morita equivalences, and the gauge group of noncommutative Yang-Mills theory. The text also briefly explains mathematical concepts from noncommutative geometry. The paper outlines the historical development of noncommutative geometry, starting with Snyder's work on spacetime noncommutativity, followed by the revival of the field in the 1980s through the work of Connes, Woronowicz, and Drinfel'd. It discusses the role of noncommutative geometry in string theory, particularly in the context of D-branes and matrix models, and its implications for quantum gravity. The paper also explores the connection between noncommutative geometry and string theory, including the role of noncommutative geometry in describing spacetime at the Planck scale and the implications for quantum field theories on noncommutative spaces. The text concludes with an overview of the structure of noncommutative field theories, including the Weyl quantization procedure, the Groenewold-Moyal star-product, and the perturbative expansion of noncommutative quantum field theories. The paper emphasizes the unique properties of noncommutative field theories, such as UV/IR mixing and the non-locality of interactions, and their potential implications for quantum gravity.This paper provides a pedagogical and self-contained introduction to noncommutative quantum field theory, emphasizing its connections to string theory and gravity. It covers key topics such as the Weyl-Wigner correspondence, noncommutative Feynman diagrams, UV/IR mixing, noncommutative Yang-Mills theory, Morita equivalences, and the gauge group of noncommutative Yang-Mills theory. The text also briefly explains mathematical concepts from noncommutative geometry. The paper outlines the historical development of noncommutative geometry, starting with Snyder's work on spacetime noncommutativity, followed by the revival of the field in the 1980s through the work of Connes, Woronowicz, and Drinfel'd. It discusses the role of noncommutative geometry in string theory, particularly in the context of D-branes and matrix models, and its implications for quantum gravity. The paper also explores the connection between noncommutative geometry and string theory, including the role of noncommutative geometry in describing spacetime at the Planck scale and the implications for quantum field theories on noncommutative spaces. The text concludes with an overview of the structure of noncommutative field theories, including the Weyl quantization procedure, the Groenewold-Moyal star-product, and the perturbative expansion of noncommutative quantum field theories. The paper emphasizes the unique properties of noncommutative field theories, such as UV/IR mixing and the non-locality of interactions, and their potential implications for quantum gravity.