Narrative:

Approximately 60 miles northeast of ZZZ at fl 380; the #1 engine rolled back to 68% N1. The engine would not respond to forward thrust lever movement; only to a lower thrust lever setting. Since this partial engine power was not addressed specifically in the QRH I thought that turning off the associated eec (electronic engine control) might allow us to regain control. The eec was turned off; without effect and was turned back on. The decision to divert to ZZZ was an easy one. The flight attendants and dispatch were notified. ATC was advised; vectors were provided to a runway xx arrival. The engine failed completely on downwind.the engine failure and one engine inop landing QRH checklists were accomplished. The first officer was the flying pilot; he continued to fly and did most of the communicating with ATC. Performance calculation flaps 15 engine out data was used and briefings completed. Aircraft control was transferred and I became the pilot flying. A normal engine out flaps 15 landing was made. After clearing the runway; ZZZ fire rescue looked over the engine and detecting no threats; we taxied to our assigned gate.two passenger PA's were made while airborne and one after landing. There were no passenger issues that I was made aware of; our flight attendants must have done a wonderful job. My first officer did a perfectly professional job of flying and communicating with ATC. Kudos to all the sim instructors I have had over the years.

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Original NASA ASRS Text

Title: B737-700 Captain reported loss of power in the #1 engine while at cruise altitude which caused a diversion.

Narrative: Approximately 60 miles northeast of ZZZ at FL 380; the #1 engine rolled back to 68% N1. The engine would not respond to forward thrust lever movement; only to a lower thrust lever setting. Since this partial engine power was not addressed specifically in the QRH I thought that turning off the associated EEC (Electronic Engine Control) might allow us to regain control. The EEC was turned off; without effect and was turned back on. The decision to divert to ZZZ was an easy one. The Flight Attendants and Dispatch were notified. ATC was advised; vectors were provided to a Runway XX arrival. The engine failed completely on downwind.The Engine Failure and One Engine Inop Landing QRH checklists were accomplished. The First Officer was the Flying Pilot; he continued to fly and did most of the communicating with ATC. Performance calculation flaps 15 engine out data was used and briefings completed. Aircraft control was transferred and I became the Pilot Flying. A normal engine out flaps 15 landing was made. After clearing the runway; ZZZ Fire Rescue looked over the engine and detecting no threats; we taxied to our assigned gate.Two passenger PA's were made while airborne and one after landing. There were no Passenger issues that I was made aware of; our Flight Attendants must have done a wonderful job. My First Officer did a perfectly professional job of flying and communicating with ATC. KUDOS to all the SIM Instructors I have had over the years.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.