Methane stored in seabed reservoirs such as methane hydrates can reach the atmosphere in the form of bubbles or dissolved in water. Hydrates could destabilize with rising temperature further increasing greenhouse gas emissions in a warming climate. To assess the impact of oceanic emissions from the area west of Svalbard, where methane hydrates are abundant, we used measurements collected with a research aircraft (Facility for Airborne Atmospheric Measurements) and a ship (Helmer Hansen) during the Summer 2014 and for Zeppelin Observatory for the full year. We present a model-supported analysis of the atmospheric CH$\mathrm{<mrow\; data-mjx-texclass="ORD">4</mrow>}$mixing ratios measured by the different platforms. To address uncertainty about where CH$\mathrm{<mrow\; data-mjx-texclass="ORD">4</mrow>}$ emissions actually occur, we explored three scenarios: areas with known seeps, a hydrate stability model, and an ocean depth criterion. We then used a budget analysis and a Lagrangian particle dispersion model to compare measurements taken upwind and downwind of the potential CH$\mathrm{<mrow\; data-mjx-texclass="ORD">4</mrow>}$ emission areas. We found small differences between the CH$\mathrm{<mrow\; data-mjx-texclass="ORD">4</mrow>}$ mixing ratios measured upwind and downwind of the potential emission areas during the campaign. By taking into account measurement and sampling uncertainties and by determining the sensitivity of the measured mixing ratios to potential oceanic emissions, we provide upper limits for the CH$\mathrm{<mrow\; data-mjx-texclass="ORD">4</mrow>}$ fluxes. The CH$\mathrm{<mrow\; data-mjx-texclass="ORD">4</mrow>}$ flux during the campaign was small, with an upper limit of 2.5 nmol m$\mathrm{<mrow\; data-mjx-texclass="ORD">-2</mrow>}$ s$\mathrm{<mrow\; data-mjx-texclass="ORD">-1</mrow>}$ in the stability model scenario. The Zeppelin Observatory data for 2014 suggest CH$\mathrm{<mrow\; data-mjx-texclass="ORD">4</mrow>}$ fluxes from the Svalbard continental platform below 0.2 Tg yr$\mathrm{<mrow\; data-mjx-texclass="ORD">-1</mrow>}$. All estimates are in the lower range of values previously reported.