Hello @Eduardo, You can check following link for solution of your problem. 

https://www.odoo.com/apps/modules/10.0/web_disable_export_group/
https://www.odoo.com/apps/modules/11.0/web_disable_export_delete_button/

i hope it will help you.

Another Solution is to update the web module and only show the "Export" action if the user has "Delete" role, or just completely remove the function. TESTED in Version 12.

Go to your Odoo installation,

addons => web => static => src => js => views => list => list_controller.js

Edit the file and update the renderSidebar function to match the following:

//////Remove the Export function from the other block.

var other = [];

/////Add the Export function to the is_action_enabled block, or delete it if you want nobody to have export capability.

if (this.is_action_enabled('delete')) {
other.push({
label: _t('Delete'),
callback: this._onDeleteSelectedRecords.bind(this)
});

other.push({
label: _t("Export XLS`s"),
callback: this._onExportData.bind(this)
});
}

Restart your server and upgrade the web module. And now everything should be fine.

Hi,

Checkout this module, if anyone need i  V13: https://apps.odoo.com/apps/modules/13.0/disable_export

This free module works for me in Odoo 13:

https://apps.odoo.com/apps/modules/13.0/remove_export_option/

Good luck