The role has been created as part of a strengthening of the group's regional sales team and follows the hiring of David Hill as regional online advertising manager earlier this year.
Grahame was formerly display sales executive and has been with the group for six years.
Gary Frielick, Telegraph Group regional display sales director, said: "Hannah's communication and organisational skills are second to none. She is the ideal candidate to move the business forward and will be responsible for running the day-to-day business.
"This new role enables us to continue to make sure we protect and grow our existing clients and encourage new advertisers.
Other strengthening of the group's regional work includes the launch of a fortnightly regional property and lifestyle supplement later this month called Living In and covering the Midlands, North Wales and Northern England.
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