I fired up my old Macbook with 10.7.5 and installed Fritzing 0.9.3b to test this and I can confirm that I see the same behaviour. Looking at the log in Console I can see:
16/03/2017 22:50:53.781 [0x0-0x36036].org.fritzing.Fritzing: libpng warning: iCCP: known incorrect sRGB profile
16/03/2017 22:51:12.334 [0x0-0x36036].org.fritzing.Fritzing: dyld: lazy symbol binding failed: Symbol not found: _SSLCreateContext
16/03/2017 22:51:12.334 [0x0-0x36036].org.fritzing.Fritzing: Referenced from: /Applications/Fritzing.app/Contents/MacOS/../Frameworks/libgit2.23.dylib
16/03/2017 22:51:12.334 [0x0-0x36036].org.fritzing.Fritzing: Expected in: /System/Library/Frameworks/Security.framework/Versions/A/Security
16/03/2017 22:51:12.334 [0x0-0x36036].org.fritzing.Fritzing: dyld: Symbol not found: _SSLCreateContext
16/03/2017 22:51:12.334 [0x0-0x36036].org.fritzing.Fritzing: Referenced from: /Applications/Fritzing.app/Contents/MacOS/../Frameworks/libgit2.23.dylib
16/03/2017 22:51:12.334 [0x0-0x36036].org.fritzing.Fritzing: Expected in: /System/Library/Frameworks/Security.framework/Versions/A/Security
16/03/2017 22:51:21.155 com.apple.launchd.peruser.501: ([0x0-0x36036].org.fritzing.Fritzing[923]) Job appears to have crashed: Trace/BPT trap: 5
Can't help beyond that sorry