In 12-inch skillet, heat oil over medium heat. Add garlic; cook about 30 seconds, stirring occasionally, until softened. Stir in marinara sauce and water. Cover; heat to boiling over medium heat.
Add fettuccine and green beans; stir to separate fettuccine. Return to boiling; cover and boil 3 to 5 minutes or until beans are tender.
Stir in chicken. Cook 3 to 4 minutes, stirring occasionally, until chicken is heated.
Remove from heat. Sprinkle with cheese. Cover; let stand 2 minutes to melt cheese.