How to systematically avoid brackets around citations

In biological taxonomic papers authors of species are either cited with or without brackets depending on whther the species has been placed in a different genus.

For example

Genus1 species1 Linnaeus, 1758 is described in Genus 1

Genus2 species1 (Linnaeus, 1758) is now placed in brackets if moved to Genus2 from Genus1. 

A list of species with hundreds of species and their references would be so much easier to compile if a citation can be cited as WITHOUT brackets. I can then do this in the database by simply modifying the unformatted citations depending on whether they need or need not to be placed in brackets. 

Using X7 it does not seems to be an option. Any ideas or solutions?

You could modify the citation template of your Endnote output style to remove the brackets/parentheses so the in-text citations appear without brackets/parentheses. Brackets/parentheses could then be added to selected citations using Endnote’s “Edit Citations” function and (in the dialog box.) placing a left or right bracket/parenthesis in the Prefix and Suffix boxes, respectively. 

Go to the Endnote toolbar, select Edit > Output Styles > Edit [name of your output style]. In the output style’s dialog box, click Templates (located below Citations [ refer to the attached image). On the right-hand side delete the brackets/parentheses appearing in the template located below “Citation”. Exit the dialog box to save your changes which will be saved to a new output style file “Copy” added to the file name. Change your MS Word setting to use the new output style file.
in-text citation template.gif

Good point. Making the no-brackets optional and brackets an extra.