Quite a lot according to Noah Bonsey and Jeb Koogler who believe that negotiators should take note that
The channel’s tremendous popularity has also, for better or worse, made it a shaper of public opinion. Its coverage often determines what becomes a story and what does not, as well as how Arab viewers think about issues.
They add that
The result of Al Jazeera’s market dominance is that it has itself become a mover and shaker in Palestinian politics, helping to craft public perceptions and influence the debate. This has obvious implications for the peace process: how Al Jazeera covers the deliberations and the outcome of any negotiated agreement with Israel will fundamentally shape how it is viewed—and, more importantly, whether it is accepted—by the Palestinian public.