Amazon passed to William Parker, who continued the association with Nelson with service in the Mediterranean and participation in the chase to the West Indies during the Trafalgar Campaign.

Amazon went on to join Sir John Borlase Warren's squadron in the Atlantic and took part in the defeat of Charles-Alexandre Léon Durand Linois's forces at the action of 13 March 1806.

The ships were, however, known for "deep and uneasy rolling and pitching", which naval historian Robert Gardiner suggests was because they were built very stiffly.

[1] On 14 February 1800 HMS Endymion and Amazon recaptured the merchant ship Trelawney,[8] which had been sailing from Liverpool to Leghorn when the French Saint Malo privateer Bougainville captured her.

[12] Riou and Amazon were then assigned to Admiral Sir Hyde Parker's expedition to the Baltic in 1801, to compel the Danes to abandon the League of Armed Neutrality.

[1][14][15] Riou worked closely with Parker's second-in-command, Rear-Admiral Horatio Nelson, and Captain Thomas Foley in the lead-up to the Battle of Copenhagen, and Nelson appointed Riou commander of the frigates and smaller vessels, instructing him to deploy his ships in support of the main fleet.

[14][15] As the battle began on 2 April, several of Nelson's ships of the line ran aground on shoals in the harbour, forcing the improvisation of a new plan of attack.

[17][18] Lieutenant-Colonel William Stuart, commanding the soldiers of the 48th Regiment of Foot, recorded that Riou was killed: [He] was sitting on a gun, was encouraging his men, and had been wounded in the head by a splinter.

On one occasion in December 1804 Nelson ordered Parker to bring a consignment of live bullocks to supply the fleet off Toulon.

'[24] Parker had in fact brought sixty bullocks and thirty sheep, prompting Nelson to promise a reward for his good service.

[24] Parker and Amazon remained with Nelson after the division of the Mediterranean commands left the Spanish coasts under the supervision of Vice-Admiral Sir John Orde.

Having delivered his despatches to Lisbon, Parker acted on Nelson's hint that he was not expected back until February and carried out a cruise that netted him several prizes worth a total of £20,000.

[24] Amazon went on to join Nelson in the chase to the West Indies and back of Pierre-Charles Villeneuve's fleet during the Trafalgar Campaign.

[25] Once more in European waters after the fleet's return, Amazon captured the Spanish privateer Principe de la Paz off Ushant on 17 September 1805.

She had been out five weeks and had captured the packet Prince of Wales from Lisbon, and the letter of marque Lady Nelson, which had been sailing from Virginia to Glasgow.

[27] The ship was back in the Atlantic in the following year, this time as part of Vice-Admiral Sir John Borlase Warren's pursuit of Jean-Baptiste Philibert Willaumez.

[28] On 28 August 1807 Amazon and the 14-gun cutter HMS Cockatrice were in company at the capture of the Danish ship Speculation and so shared in the prize money for her.

Général Pérignon, of eighty-three men, had left Saint Malo on 8 January and captured the brig Unanimity, from Oporto.

Parker stated that Général Pérignon's superior sailing had enabled her to cruise successfully against British trade since the commencement of the war.