After a cagey affair where neither side could seem to construct any positive offensive drive it was Trossard who demonstrated his worth to Potter's side with his first goal of the season.
The result means that Brighton have three wins out of their first four Premier League fixtures of the season and are paving the way towards their best season in an extensive history.
The south coast club now reside in third-place, albeit for the time being, after the match and will be delighted with the progress made since the previous campaign.
Concurrently, Brentford have been condemned to their first defeat of the season after an excellent start, and will be bitterly disappointed having established chances to win the match themselves.
Story of the match
Brighton manager Graham Potter repaid the raucous Albion faithful with after maintaining the sides 100% record on the road this season, with nine points out of a possible 12 the club are indeed in extremely good stead.
Trossard opened his seasonal account with aplomb to birth a wave of ecstasy in the away end after combining with Alexis Mac Allister to curl an effort home and clinch the win.
Despite ending goalless at the break, it was Brentford who were finding the most success having completed six shots on goal in comparison to Brighton’s solitary effort.
The second half emulated the blueprint of the first until the eventual goal, Brentford were dogged in their pursuit as Brighton dictated the flow of the fixture with the majority of possession.
Brighton's victory was marred by a hamstring injury beset on Adam Webster as he made a clearance, who has become a focal point to the Seagulls defence in recent times, completing every minute prior to his unfortunate withdrawal.
Potter's half-time alteration - switching to a back-four following Webster's injury - proved decisive, with debutant Marc Cucurella switching to left-back, Albion were able to muster a clinical edge to get them over the line, and finished the match as winners once again in there Premier League.
Yet another victory
A third victory in four outings truly is a testament to the laudable work that Potter is conducting at Brighton; last season Brighton did not manage their third league victory until January.
The upturn in form is incredible and bodes well for the seasonal aspirations of Potter and his side.
Webster's injury before the break will undoubtedly cause a headache for Potter after establishing himself in a formidable defence.
However, Dan Burn will imminently be returning and will alleviate the defensive dilemma that losing Webster now begrudgingly presents.
Next time out
Potter's Brighton are back on home soil next Sunday (14:00) as they seek to add to their monumental start to the campaign against FA Cup winners Leicester City, who fell to defeat against league champions Manchester City today.
Brentford play the day before in the early kick-off (12:30) and will be determined for a better afternoon away to Wolverhampton Wanderers.