Really depends on what your mounting and how much it weights. Block walls sometimes have grouted cells (4 foot spacing vertically if they are there). It would be good to drill and attach into those. What size of "wood strip" are you planning on mounting? My last patio required a 2x10.
Ideally get a rotohammer and drill holes into the grouted cells and attach to those. Depth will depend on span and weight. If not available you could consider drilling 1/2 holes into the block and using something like these.