Context : Convection in red giant stars excites resonant acoustic waves whose frequencies depend on the sound speed inside the star , which in turn depends on the properties of the stellar interior . Therefore , asteroseismology is the most robust available method for probing the internal structure of red giant stars . Aims : Solar-like oscillations in the red giant HR 7349 are investigated . Methods : Our study is based on a time series of 380 760 photometric measurements spread over 5 months obtained with the CoRoT satellite . Mode parameters were estimated using maximum likelihood estimation of the power spectrum . Results : The power spectrum of the high-precision time series clearly exhibits several identifiable peaks between 19 and 40 \mu Hz showing regularity with a mean large and small spacing of \Delta \nu = 3.47 \pm 0.12 \mu Hz and \delta \nu _ { 02 } = 0.65 \pm 0.10 \mu Hz . Nineteen individual modes are identified with amplitudes in the range from 35 to 115 ppm . The mode damping time is estimated to be 14.7 ^ { +4.7 } _ { -2.9 } days . Conclusions :