i have landsat8 and High Resolution Imagery (1m) in the same study area, is possible to merge them to get one imagery so that i can take advantage of the accuracy satellite imagery.
It is technically possible to use the pansharpening algorithm with different sensors, and all your tagged software have pansharpening tools (sometime . However, the quality of the outputs will depend:
1) on the pixel number ratio. In your case, it will be very large (15*15 = 225). IMHO this will be too large, in the litterature you hardly find successful results above 6*6=36 (e.g. Bayesian data fusion (available in OTB) of ASTER TIR band)
2) on the correlation between the band. If the bands are not correlated, pushing structure information inside multispectral image will add spatial details but not reliably.
3) the synchronicity: obviously, if the dates are too much different, you will combine values that changed between the two acquisitions.
Therefore, I would not suggest you to try a pansharpening between 1m and 15/30m images. I would rather downsample the 1 m image to, e.g., 5 m as a compromise, or (better) create image-objects of a size close to your pixels based on the 1 m image, then use the landsat reflectance to enrich your objects characteristics.
As a final remark, you can also "visually" pansharpen your image using some transparancy with your layers. This can help photointerpretation, and your brain will do a better job than any existing algorithm.