Sure, you possibly can catch the shiny model of Exeggcute in Pokemon GO, however you have to be very fortunate to seek out one.
Any Exeggcute you encounter in Pokemon GO has a really low probability of being shiny. The shiny odds are roughly 0.2%, which means, on common, only one in each 500 Exeggcute you encounter will probably be shiny.
One of the best time to catch a shiny Exeggcute is in the course of the Pokemon GO Exeggcute Highlight Hour. It is because Exeggcute spawns will probably be drastically elevated throughout this occasion!

What Does Shiny Exeggcute Look Like in Pokemon GO?
Shiny Exeggcute is a vivid yellow shade. This makes it stand out from the usual model of the Pokemon, which is a light-weight pink shade.
In the meantime, the shiny model of its evolution, Exeggutor, can be yellow and has brown leaves. This shade scheme is shared with shiny Alolan Exeggutor too.

Easy methods to Get Shiny Exeggutor & Alolan Exeggutor in Pokemon GO
To get a shiny Exeggutor in Pokemon GO, you could evolve a shiny Exeggcute utilizing 50 Exeggcute Sweet. You can’t encounter a shiny Exeggutor within the wild or after beating Exeggutor Raids.
In the meantime, any Alolan Exeggutor you encounter in Pokemon GO has a low probability of being shiny (0.2%), nonetheless, it is just often in Raid battles and doesn’t spawn within the wild typically. It is because there isn’t any Alolan Exeggcute to evolve it from.
Each Exeggutor and Alolan Exeggutor are Raid bosses within the Pokemon GO Spring into Spring occasion. Simply keep in mind that you may solely encounter a shiny model of the Alolan model after beating it!