harrumph  həˈrʌmf/ verb gerund or present participle: harrumphing clear the throat noisily. "he harrumphed and said, ‘I am deeply obliged.’" grumpily express dissatisfaction or disapproval. "sceptics tend to harrumph at case histories like this

(from Google)

harrumph /həˈrʌmf/ verb; gerund or present participle: harrumphing

1. clear the throat noisily

• grumpily express dissatisfaction or disapproval.
  "skeptics tend to harrumph at case histories like this"

He harrumphed and said, ‘I am deeply obliged’.

(from Google)