Though they're not violently xenophobic like the githyanki, the githzerai aren't exactly welcoming to non-githzerai. Expect them to ignore, avoid, or remain extremely cool to anyone they come across during Rrakkma who doesn't get in their way.
Now if they do see an advantage to working with someone else in order to fulfill their goals, they may go for it, but they'll remain less than chummy to those people. Don't expect them to accept non-githzerai, though they might form a sort of calm respect for someone that helps them and shows honor in the process, or shares a similar mindset (self sufficiency, internal control and will against external flux, hatred of mind flayers, and struggle against their misguided racial cousins the githyanki, etc).
Of note, those githzerai who are actual monks, hailing from a monastic environment in Limbo (where they live in self-imposed exile from the githzerai cities which fall under the strict but subtle control of Zaerith Menyar Ag Gith, the githzerai "wizard-king") are more liable to deal with non-githzerai, at least in my opinion. Githzerai from, or that have spent time in, Sigil's 'zerai racial enclave of Darkwell Court, are also a bit more likely to be comfortable dealing with non-githzerai.