After scoring his 31st goal of the season at the weekend, this international striker has to be pursued by Brendan Rodgers.
Having already raised the bar by becoming one of the top strikers in France last season, Lacazette has proved himself the country's best this time round, and with 27 goals, is seven strikes ahead of his nearest rival in the league, Andre-Pierre Gignac.
Lyon look like coming up just short in their attempts of first league title since 2008, being three points behind leaders PSG with just three games left. Even though they are a certainty for Champions League football next season, they do not have the financial firepower of the larger Premier League clubs, or the likes of Monaco and PSG in their own country. The 23-year-old may get to play in Europe's premier club competition if he stays at his childhood club next year, but Lyon will struggle to match the wages or prestige available at the likes of Liverpool.
There won't be many top class forwards available this summer, and any that are will be eager to move to teams that can offer Champions League football and big wages. So Liverpool would likely have to look at the bracket just below world class, those like Lacazette that are on the cusp of becoming one of the best strikers in Europe but not quite there yet.
With the Reds already continuing to be linked to the player by sources like the Echo, Lacazette is a quick and skilful striker like Reds main man Daniel Sturridge, though, unlike the England international, is someone that has had a decent record with regards to injuries. The French international missed three weeks at the start of 2015, but has been in good fitness for much of his career aside from that.
The Lyon forward would be able to come into the Liverpool side both alongside Sturridge, and replacing him if need be, and is also a viable option in wide areas as well.
PSG, as well as Arsenal, Spurs and Chelsea, have also been credited with an interest in Lacazette, but Brendan Rodgers might be best placed to offer the attacker a regular starting place in a promising team, something that could potentially be a deal breaker.